Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728dd |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
2706804730902085632 = 218 · 39 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435267,77144130] |
[a1,a2,a3,a4,a6] |
j |
2803221/832 |
j-invariant |
L |
0.949117257388 |
L(r)(E,1)/r! |
Ω |
0.23727929734494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466i1 91728da1 91728cq1 |
Quadratic twists by: -4 -3 -7 |