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	18	Product of Tamagawa factors cp
Δ	-347482224 = -1 · 24 · 36 · 313	Discriminant
Eigenvalues	2- 3-  3 -1  0  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-250914,-48460347]	[a1,a2,a3,a4,a6]
j	-109189315135671400192/21717639	j-invariant
L	1.919820816543	L(r)(E,1)/r!
Ω	0.10665671203017	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	1488j2 5952k2 1116f2 9300c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 372c2

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 372c2

-4	8	-3	5	-7	-11	13	17	-31
1488j2	5952k2	1116f2	9300c2	18228d2	45012l2	62868i2	107508d2	11532c2

---

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