Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bj |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
329728 |
Modular degree for the optimal curve |
Δ |
-829828346059440 = -1 · 24 · 32 · 5 · 79 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57395,5451858] |
[a1,a2,a3,a4,a6] |
Generators |
[73:1287:1] |
Generators of the group modulo torsion |
j |
-32385538048/1285245 |
j-invariant |
L |
9.3631565248575 |
L(r)(E,1)/r! |
Ω |
0.49776835191238 |
Real period |
R |
2.3512836067088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440e1 |
Quadratic twists by: -7 |