Atkin-Lehner |
2+ 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562k |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7064157526272 = 28 · 311 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23742,-1396332] |
[a1,a2,a3,a4,a6] |
j |
2030291400390625/9690202368 |
j-invariant |
L |
1.5388777104567 |
L(r)(E,1)/r! |
Ω |
0.38471942761417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854n1 |
Quadratic twists by: -3 |