Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400li |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1934346231480320000 = -1 · 229 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -5 -6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563500,176027600] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
3.0784686950454 |
L(r)(E,1)/r! |
Ω |
0.25653905474047 |
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 |
78400fv1 19600ef1 78400jg1 11200dj1 |
Quadratic twists by: -4 8 5 -7 |