Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230df |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
7.9223824658808E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350298653,2129463276581] |
[a1,a2,a3,a4,a6] |
Generators |
[4527:795496:1] |
Generators of the group modulo torsion |
j |
2765523913831303451/460886630400000 |
j-invariant |
L |
9.0129053730174 |
L(r)(E,1)/r! |
Ω |
0.048080288704759 |
Real period |
R |
5.8579784033947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bh1 76230z1 |
Quadratic twists by: -3 -11 |