Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400la |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
235298000000000 = 210 · 59 · 76 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16333,-323037] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
0.8873652982099 |
L(r)(E,1)/r! |
Ω |
0.44368263756176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400fi1 19600bl1 78400ku1 1600w1 |
Quadratic twists by: -4 8 5 -7 |