Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048g |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-675720192 = -1 · 210 · 3 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,107,1141] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:28:1] [186:1001:8] |
Generators of the group modulo torsion |
j |
131072000/659883 |
j-invariant |
L |
10.182716003857 |
L(r)(E,1)/r! |
Ω |
1.1605385030577 |
Real period |
R |
4.3870651327008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bs1 5628d1 |
Quadratic twists by: -4 8 |