Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cc |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432000 |
Modular degree for the optimal curve |
Δ |
-1.6320888561724E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 2 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18536900,31319939135] |
[a1,a2,a3,a4,a6] |
j |
-397629799197490583641/9212716108406250 |
j-invariant |
L |
2.966820577912 |
L(r)(E,1)/r! |
Ω |
0.12361753701361 |
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 |
10230h1 |
Quadratic twists by: -11 |