Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400km |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-295157811200000000 = -1 · 217 · 58 · 78 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 -6 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824833,-289242463] |
[a1,a2,a3,a4,a6] |
j |
-10303010/49 |
j-invariant |
L |
0.95024520415642 |
L(r)(E,1)/r! |
Ω |
0.079187102486656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ei1 19600bh1 78400hf1 11200de1 |
Quadratic twists by: -4 8 5 -7 |