Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bi |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
515200 |
Modular degree for the optimal curve |
Δ |
-592064000000 = -1 · 212 · 56 · 11 · 292 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14800,694000] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
1.834362959679 |
L(r)(E,1)/r! |
Ω |
0.9171821869573 |
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 |
7975b1 5104b1 |
Quadratic twists by: -4 5 |