Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31900b |
Isogeny class |
Conductor |
31900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-405771987500000000 = -1 · 28 · 511 · 113 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,126467,-25333063] |
[a1,a2,a3,a4,a6] |
j |
55923189948416/101442996875 |
j-invariant |
L |
2.8235182002997 |
L(r)(E,1)/r! |
Ω |
0.15686212223844 |
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 |
127600w1 6380b1 |
Quadratic twists by: -4 5 |