Atkin-Lehner |
3- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76995i |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-54818778173258835 = -1 · 317 · 5 · 293 · 592 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,56967,-9975317] |
[a1,a2,a3,a4,a6] |
Generators |
[17522:824495:8] |
Generators of the group modulo torsion |
j |
28045696596660224/75197226575115 |
j-invariant |
L |
12.123505014736 |
L(r)(E,1)/r! |
Ω |
0.18204156243378 |
Real period |
R |
2.7748940157174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25665g1 |
Quadratic twists by: -3 |