Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464bh |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
205708107534336 = 212 · 312 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15456,-266128] |
[a1,a2,a3,a4,a6] |
j |
136750071808/68891229 |
j-invariant |
L |
5.417006411034 |
L(r)(E,1)/r! |
Ω |
0.45141728010106 |
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 |
7029d1 37488p1 |
Quadratic twists by: -4 -3 |