Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dg |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-3.022415986688E+22 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 5 6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14087500,-22003450000] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
7.5947649561638 |
L(r)(E,1)/r! |
Ω |
0.038748800876246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400jg1 2450k1 78400fv1 11200ba1 |
Quadratic twists by: -4 8 5 -7 |