Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400ca |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
883200 |
Modular degree for the optimal curve |
Δ |
-602299800000000 = -1 · 29 · 311 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271875,54576250] |
[a1,a2,a3,a4,a6] |
j |
-15243125000/4131 |
j-invariant |
L |
1.0063286026644 |
L(r)(E,1)/r! |
Ω |
0.50316456246872 |
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 |
122400bz1 40800by1 122400dg1 |
Quadratic twists by: -4 -3 5 |