Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22984a |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
84025091072 = 210 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-14340] |
[a1,a2,a3,a4,a6] |
Generators |
[14970:154128:125] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
7.2448631095852 |
L(r)(E,1)/r! |
Ω |
0.79523530710259 |
Real period |
R |
4.5551694227345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968b1 136b1 |
Quadratic twists by: -4 13 |