Cremona's table of elliptic curves

372 = 2² · 3 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 31-	Signs for the Atkin-Lehner involutions
Class	372c	Isogeny class
Conductor	372	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	-192160562544 = -1 · 24 · 318 · 31	Discriminant
Eigenvalues	2- 3-  3 -1  0  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3054,-69327]	[a1,a2,a3,a4,a6]
j	-196948657599232/12010035159	j-invariant
L	1.919820816543	L(r)(E,1)/r!
Ω	0.3199701360905	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1488j1 5952k1 1116f1 9300c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 372c1

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
-	-	3	-1	0	2	0	-1	-6	0	-	8	-3	8	0	-12	-9	8	-4	-9	-4	-10	-6	-6	-7

---

Quadratic twists for elliptic curve 372c1

-4	8	-3	5	-7	-11	13	17	-31
1488j1	5952k1	1116f1	9300c1	18228d1	45012l1	62868i1	107508d1	11532c1

---

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