Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400z |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-128800000000 = -1 · 211 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78875,8526250] |
[a1,a2,a3,a4,a6] |
j |
-67834689570/161 |
j-invariant |
L |
3.6016438916375 |
L(r)(E,1)/r! |
Ω |
0.90041097169554 |
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 |
32200y1 64400c1 |
Quadratic twists by: -4 5 |