Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670b |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
4.2935165955314E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4722988,3936128092] |
[a1,a2,a3,a4,a6] |
j |
288730073951581807/1063973437500 |
j-invariant |
L |
0.40784620437377 |
L(r)(E,1)/r! |
Ω |
0.20392316472581 |
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 |
89670bb1 |
Quadratic twists by: -7 |