Atkin-Lehner |
2+ 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bb |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3140341725717504 = -1 · 210 · 34 · 74 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-148074,22084060] |
[a1,a2,a3,a4,a6] |
Generators |
[272:-1533:1] [-355:5649:1] |
Generators of the group modulo torsion |
j |
-2967362136406619809/25953237402624 |
j-invariant |
L |
9.0187182123919 |
L(r)(E,1)/r! |
Ω |
0.45115398812849 |
Real period |
R |
0.31234894465805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558cy1 |
Quadratic twists by: -11 |