Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125048h |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
323658987344 = 24 · 78 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57199,-5284434] |
[a1,a2,a3,a4,a6] |
Generators |
[646:15092:1] |
Generators of the group modulo torsion |
j |
10994826754048/171941 |
j-invariant |
L |
3.1453021394089 |
L(r)(E,1)/r! |
Ω |
0.30871108236063 |
Real period |
R |
2.5471244189654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17864d1 |
Quadratic twists by: -7 |