Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200dy |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
187492384800000000 = 211 · 314 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-973875,369328750] |
[a1,a2,a3,a4,a6] |
j |
3574536770/6561 |
j-invariant |
L |
1.9168661592438 |
L(r)(E,1)/r! |
Ω |
0.31947769942786 |
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 |
29400eo1 88200go1 88200dg1 |
Quadratic twists by: -3 5 -7 |