Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70756d |
Isogeny class |
Conductor |
70756 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-82447883117743024 = -1 · 24 · 78 · 197 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70756,11763185] |
[a1,a2,a3,a4,a6] |
j |
442368/931 |
j-invariant |
L |
2.8418522024933 |
L(r)(E,1)/r! |
Ω |
0.23682101784088 |
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 |
10108b1 3724a1 |
Quadratic twists by: -7 -19 |