Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87814j |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-61140889501696 = -1 · 224 · 232 · 832 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2933,-370959] |
[a1,a2,a3,a4,a6] |
Generators |
[102:945:1] [254:3969:1] |
Generators of the group modulo torsion |
j |
5274666119903/115578241024 |
j-invariant |
L |
8.6443447038391 |
L(r)(E,1)/r! |
Ω |
0.30247001623356 |
Real period |
R |
0.59539956028555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87814g1 |
Quadratic twists by: -23 |