Atkin-Lehner |
2+ 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90846bg |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6814080 |
Modular degree for the optimal curve |
Δ |
521262342676389888 = 213 · 37 · 710 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152538381,-725093434395] |
[a1,a2,a3,a4,a6] |
Generators |
[-60483305110661847768650637658309533045659459629093:30469374673613615919056610198114668928286782632040:8482373856589426882691855286282684475514457059] |
Generators of the group modulo torsion |
j |
1906132924935321313/2531328 |
j-invariant |
L |
6.445844331985 |
L(r)(E,1)/r! |
Ω |
0.042959060154496 |
Real period |
R |
75.023106986086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282bn1 90846v1 |
Quadratic twists by: -3 -7 |