Atkin-Lehner |
2+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7810a |
Isogeny class |
Conductor |
7810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
10738750 = 2 · 54 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-298,-1994] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:7:1] |
Generators of the group modulo torsion |
j |
2912566550041/10738750 |
j-invariant |
L |
4.1229466541068 |
L(r)(E,1)/r! |
Ω |
1.149784659403 |
Real period |
R |
0.44823030777862 |
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 |
62480m1 70290m1 39050o1 85910o1 |
Quadratic twists by: -4 -3 5 -11 |