Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bx |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40274826780672 = 213 · 312 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,-602350] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:232:1] |
Generators of the group modulo torsion |
j |
114013572049/13487958 |
j-invariant |
L |
4.410488591796 |
L(r)(E,1)/r! |
Ω |
0.43807629725525 |
Real period |
R |
1.2584818613292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742h2 15312n2 |
Quadratic twists by: -4 -3 |