Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728cm |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-306819035136432 = -1 · 24 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15876,-342657] |
[a1,a2,a3,a4,a6] |
Generators |
[249690:4380453:1000] |
Generators of the group modulo torsion |
j |
11943936/8281 |
j-invariant |
L |
7.1650599974182 |
L(r)(E,1)/r! |
Ω |
0.3080434171032 |
Real period |
R |
5.8149757437133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932a1 91728cn1 13104bo1 |
Quadratic twists by: -4 -3 -7 |