Atkin-Lehner |
3- 5+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
92655d |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
220160 |
Modular degree for the optimal curve |
Δ |
26975982065625 = 310 · 55 · 29 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15075,670936] |
[a1,a2,a3,a4,a6] |
j |
519737856721201/37004090625 |
j-invariant |
L |
1.3079803845592 |
L(r)(E,1)/r! |
Ω |
0.65399015881342 |
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 |
30885e1 |
Quadratic twists by: -3 |