Atkin-Lehner |
3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175b |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
560524601806640625 = 3 · 512 · 72 · 11 · 175 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24396500,46370746875] |
[a1,a2,a3,a4,a6] |
j |
102774717221250741791041/35873574515625 |
j-invariant |
L |
2.3543011305282 |
L(r)(E,1)/r! |
Ω |
0.23543011295497 |
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 |
19635x1 |
Quadratic twists by: 5 |