Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650cn |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
190106828800 = 222 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1478,5571] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:95:1] [1:63:1] |
Generators of the group modulo torsion |
j |
291493778905/155189248 |
j-invariant |
L |
13.156183984001 |
L(r)(E,1)/r! |
Ω |
0.88318013054373 |
Real period |
R |
0.67710803518125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bb1 90650bx1 |
Quadratic twists by: 5 -7 |