Atkin-Lehner |
2- 7- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
89474j |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
831600 |
Modular degree for the optimal curve |
Δ |
-8450863999778816 = -1 · 215 · 710 · 11 · 83 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11+ 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40867,-5464383] |
[a1,a2,a3,a4,a6] |
j |
-26721587137/29917184 |
j-invariant |
L |
2.412861679709 |
L(r)(E,1)/r! |
Ω |
0.16085744432829 |
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 |
89474f1 |
Quadratic twists by: -7 |