Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fo |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
15059072000 = 210 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-653,2323] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:49:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
3.8078489063881 |
L(r)(E,1)/r! |
Ω |
1.1069431208115 |
Real period |
R |
1.7199839972206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400ku1 9800bp1 78400fi1 1600l1 |
Quadratic twists by: -4 8 5 -7 |