Atkin-Lehner |
3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725g |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
12659625 = 33 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65,-88] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
8869743/3751 |
j-invariant |
L |
2.9412922300281 |
L(r)(E,1)/r! |
Ω |
1.7483650585432 |
Real period |
R |
0.84115505931452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725k1 76725f1 |
Quadratic twists by: -3 5 |