Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20832t |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2372798626293312 = 26 · 320 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42910,2478224] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:2268:1] |
Generators of the group modulo torsion |
j |
136530412623481024/37074978535833 |
j-invariant |
L |
5.0592380257349 |
L(r)(E,1)/r! |
Ω |
0.42885102786418 |
Real period |
R |
0.3932397419318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20832f1 41664cx1 62496bv1 |
Quadratic twists by: -4 8 -3 |