Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bh |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2937600 |
Modular degree for the optimal curve |
Δ |
-4599316480000000000 = -1 · 227 · 510 · 112 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275208,-117286412] |
[a1,a2,a3,a4,a6] |
j |
-57629979025/114982912 |
j-invariant |
L |
0.78349720713856 |
L(r)(E,1)/r! |
Ω |
0.097937057082573 |
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 |
15950b1 127600bv1 |
Quadratic twists by: -4 5 |