Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725z |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-8462050351425 = -1 · 37 · 52 · 115 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11- 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35690,2607842] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:1630:1] [138:475:1] |
Generators of the group modulo torsion |
j |
-275857255412545/464310033 |
j-invariant |
L |
6.3766544908728 |
L(r)(E,1)/r! |
Ω |
0.73496086775506 |
Real period |
R |
0.21690455813696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25575j1 76725be1 |
Quadratic twists by: -3 5 |