Atkin-Lehner |
2- 3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650cv |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-31361129579520000 = -1 · 213 · 33 · 54 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 1 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-263963,52779881] |
[a1,a2,a3,a4,a6] |
Generators |
[275:-1178:1] |
Generators of the group modulo torsion |
j |
-3254415235090828225/50177807327232 |
j-invariant |
L |
8.6481935717288 |
L(r)(E,1)/r! |
Ω |
0.37146583796205 |
Real period |
R |
0.099492573508347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650bc1 |
Quadratic twists by: 5 |