Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530cn |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2407680 |
Modular degree for the optimal curve |
Δ |
272830770528814080 = 210 · 36 · 5 · 119 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-387626,89393316] |
[a1,a2,a3,a4,a6] |
j |
2731670512739/115706880 |
j-invariant |
L |
9.1933682969118 |
L(r)(E,1)/r! |
Ω |
0.30644560953172 |
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 |
112530v1 |
Quadratic twists by: -11 |