Atkin-Lehner |
2+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
102010b |
Isogeny class |
Conductor |
102010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1632000 |
Modular degree for the optimal curve |
Δ |
-85770828168560800 = -1 · 25 · 52 · 1017 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 6 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-153227,26982749] |
[a1,a2,a3,a4,a6] |
j |
-374805361/80800 |
j-invariant |
L |
2.6073436716254 |
L(r)(E,1)/r! |
Ω |
0.32591795086192 |
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 |
1010b1 |
Quadratic twists by: 101 |