Cremona's table of elliptic curves

370 = 2 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 37-	Signs for the Atkin-Lehner involutions
Class	370c	Isogeny class
Conductor	370	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	108	Modular degree for the optimal curve
Δ	-50653000 = -1 · 23 · 53 · 373	Discriminant
Eigenvalues	2+ -2 5+ -1  3 -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-19,342]	[a1,a2,a3,a4,a6]
j	-702595369/50653000	j-invariant
L	0.55062075505614	L(r)(E,1)/r!
Ω	1.6518622651684	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	2960j2 11840k2 3330z2 1850h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 370c1

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
+	-2	+	-1	3	-4	3	2	6	3	5	-	3	-1	12	3	0	-1	-4	6	-16	8	-12	-6	17

---

Quadratic twists for elliptic curve 370c1

-4	8	-3	5	-7	-11	13	17	37
2960j2	11840k2	3330z2	1850h2	18130l2	44770n2	62530t2	106930i2	13690m2

---

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