Atkin-Lehner |
3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937m |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
671232 |
Modular degree for the optimal curve |
Δ |
66965054800532877 = 37 · 17 · 239 |
Discriminant |
Eigenvalues |
0 3- 0 1 -4 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-730020,-239753777] |
[a1,a2,a3,a4,a6] |
Generators |
[-503:427:1] [-174041:54580:343] |
Generators of the group modulo torsion |
j |
32768000/51 |
j-invariant |
L |
9.5228153596639 |
L(r)(E,1)/r! |
Ω |
0.16334523165476 |
Real period |
R |
14.574676075816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979a1 80937e1 |
Quadratic twists by: -3 -23 |