Atkin-Lehner |
5+ 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
117425d |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
344715765625 = 56 · 72 · 112 · 612 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2580,42422] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:295:1] |
Generators of the group modulo torsion |
j |
121508031177/22061809 |
j-invariant |
L |
4.1901588511619 |
L(r)(E,1)/r! |
Ω |
0.91322970125827 |
Real period |
R |
2.2941428826112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029832 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4697c2 |
Quadratic twists by: 5 |