Atkin-Lehner |
2- 3- 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bm |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-3814531854336 = -1 · 212 · 36 · 72 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3544,-48149] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-427:1] |
Generators of the group modulo torsion |
j |
6754484400327/5232553984 |
j-invariant |
L |
6.4667633001187 |
L(r)(E,1)/r! |
Ω |
0.43771315393101 |
Real period |
R |
0.61558229596163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12586a1 |
Quadratic twists by: -3 |