Cremona's table of elliptic curves

2451 = 3 · 19 · 43

Field	Data	Notes
Atkin-Lehner	3+ 19+ 43-	Signs for the Atkin-Lehner involutions
Class	2451c	Isogeny class
Conductor	2451	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	56160	Modular degree for the optimal curve
Δ	-3839826401846122257 = -1 · 326 · 19 · 433	Discriminant
Eigenvalues	1 3+  0 -5  4  2 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,374055,33844626]	[a1,a2,a3,a4,a6]
j	5787996915620207558375/3839826401846122257	j-invariant
L	0.93435606400163	L(r)(E,1)/r!
Ω	0.15572601066694	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39216be1 7353k1 61275i1 120099u1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2451c1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
1	+	0	-5	4	2	-7	+	-4	7	0	-3	0	-	-6	4	7	8	5	12	16	-5	-6	15	14

---

Quadratic twists for elliptic curve 2451c1

-4	-3	5	-7	-19	-43
39216be1	7353k1	61275i1	120099u1	46569k1	105393t1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations