Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975l |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
138251953125 = 32 · 510 · 112 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 11- 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4583,-116557] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:31:1] |
Generators of the group modulo torsion |
j |
9011200/117 |
j-invariant |
L |
3.231096456585 |
L(r)(E,1)/r! |
Ω |
0.58069132483335 |
Real period |
R |
2.7821118579586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975ck1 117975e1 |
Quadratic twists by: 5 -11 |