Cremona's table of elliptic curves

775 = 5² · 31

Field	Data	Notes
Atkin-Lehner	5+ 31-	Signs for the Atkin-Lehner involutions
Class	775b	Isogeny class
Conductor	775	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	75078125 = 57 · 312	Discriminant
Eigenvalues	1 -2 5+ -4  4  0  8  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-651,-6427]	[a1,a2,a3,a4,a6]
j	1948441249/4805	j-invariant
L	0.94547187184516	L(r)(E,1)/r!
Ω	0.94547187184516	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	12400o2 49600y2 6975k2 155b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 775b2

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	-2	+	-4	4	0	8	4	-2	-6	-	4	-6	6	-8	12	-4	10	-8	0	4	0	-2	14	18

---

Quadratic twists for elliptic curve 775b2

-4	8	-3	5	-7	-11	-31
12400o2	49600y2	6975k2	155b2	37975a2	93775g2	24025d2

---

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