Cremona's table of elliptic curves

602 = 2 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 7+ 43-	Signs for the Atkin-Lehner involutions
Class	602a	Isogeny class
Conductor	602	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-7955492608 = -1 · 28 · 75 · 432	Discriminant
Eigenvalues	2+  0 -4 7+  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,121,-4291]	[a1,a2,a3,a4,a6]
j	195011097399/7955492608	j-invariant
L	0.63086114004054	L(r)(E,1)/r!
Ω	0.63086114004054	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4816d1 19264d1 5418s1 15050s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 602a1

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
+	0	-4	+	0	2	6	4	0	2	2	2	-2	-	-6	-6	6	12	0	-8	4	4	18	-16	18

---

Quadratic twists for elliptic curve 602a1

-4	8	-3	5	-7	-11	13	-43
4816d1	19264d1	5418s1	15050s1	4214a1	72842s1	101738v1	25886b1

---

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