Atkin-Lehner |
2+ 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bc |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1782144 |
Modular degree for the optimal curve |
Δ |
4166558466048000 = 217 · 37 · 53 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1299609,-570352004] |
[a1,a2,a3,a4,a6] |
j |
2006208158359665698449/34434367488000 |
j-invariant |
L |
1.9795882604023 |
L(r)(E,1)/r! |
Ω |
0.14139917136908 |
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 |
112530cw1 |
Quadratic twists by: -11 |