Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400ch |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-29624000000000 = -1 · 212 · 59 · 7 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137333,-19544963] |
[a1,a2,a3,a4,a6] |
j |
-35806478336/3703 |
j-invariant |
L |
1.9840054380006 |
L(r)(E,1)/r! |
Ω |
0.12400033945386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4025f1 64400cd1 |
Quadratic twists by: -4 5 |