Cremona's table of elliptic curves

395 = 5 · 79

Field	Data	Notes
Atkin-Lehner	5- 79+	Signs for the Atkin-Lehner involutions
Class	395a	Isogeny class
Conductor	395	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	156025 = 52 · 792	Discriminant
Eigenvalues	-1  0 5- -4  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-132,614]	[a1,a2,a3,a4,a6]
j	252555814161/156025	j-invariant
L	0.80172320800396	L(r)(E,1)/r!
Ω	3.2068928320158	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6320g2 25280b2 3555b2 1975a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 395a2

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	-	-4	4	6	6	-4	0	6	0	10	2	8	12	-14	-4	-10	-4	-8	2	+	4	-6	10

---

Quadratic twists for elliptic curve 395a2

-4	8	-3	5	-7	-11	13	17	-79
6320g2	25280b2	3555b2	1975a2	19355b2	47795a2	66755a2	114155b2	31205c2

---

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