Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cf |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
2431137732596015625 = 33 · 57 · 79 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1250751,533042773] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:29541:1] |
Generators of the group modulo torsion |
j |
117713838907729/1322517105 |
j-invariant |
L |
7.5602079910989 |
L(r)(E,1)/r! |
Ω |
0.25892349523656 |
Real period |
R |
2.433218090218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555l1 6825b1 |
Quadratic twists by: 5 -7 |