Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504s |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
12568100261208128 = 26 · 72 · 138 · 173 |
Discriminant |
Eigenvalues |
2- -2 4 7- 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99286,10732872] |
[a1,a2,a3,a4,a6] |
j |
1691266923443889856/196376566581377 |
j-invariant |
L |
3.094058360458 |
L(r)(E,1)/r! |
Ω |
0.38675729514573 |
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 |
49504k1 99008cq1 |
Quadratic twists by: -4 8 |