Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75075bg |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
11413417640625 = 36 · 56 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17413,-870808] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:155:1] |
Generators of the group modulo torsion |
j |
37370253593737/730458729 |
j-invariant |
L |
5.1318692892783 |
L(r)(E,1)/r! |
Ω |
0.41609910686843 |
Real period |
R |
1.0277738335182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3003e2 |
Quadratic twists by: 5 |