Atkin-Lehner |
3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8967c |
Isogeny class |
Conductor |
8967 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-720833456967561 = -1 · 315 · 77 · 61 |
Discriminant |
Eigenvalues |
1 3+ 1 7- 0 -2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2176017,1234591002] |
[a1,a2,a3,a4,a6] |
j |
-9685513163415099529/6126983289 |
j-invariant |
L |
0.83807817048714 |
L(r)(E,1)/r! |
Ω |
0.41903908524357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26901l1 1281e1 |
Quadratic twists by: -3 -7 |