Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450du |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
192558515625000000 = 26 · 37 · 513 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25264355,-48871341853] |
[a1,a2,a3,a4,a6] |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
3.2323154864922 |
L(r)(E,1)/r! |
Ω |
0.067339905879874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150y1 14490w1 |
Quadratic twists by: -3 5 |