Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125136j |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
460422120837888 = 28 · 39 · 114 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-897615,-327326454] |
[a1,a2,a3,a4,a6] |
Generators |
[-788139970:-36525808:1442897] |
Generators of the group modulo torsion |
j |
15873136782246000/91374481 |
j-invariant |
L |
5.9048730769769 |
L(r)(E,1)/r! |
Ω |
0.15510549330902 |
Real period |
R |
9.5175111851331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31284a2 125136g2 |
Quadratic twists by: -4 -3 |