Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kb |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
3.7024595836928E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8403500,-8907710000] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
1.0678033638764 |
L(r)(E,1)/r! |
Ω |
0.088983610446307 |
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 |
78400ec1 19600dn1 78400gv1 78400jh1 |
Quadratic twists by: -4 8 5 -7 |