Atkin-Lehner |
3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11193g |
Isogeny class |
Conductor |
11193 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
1072546839 = 35 · 72 · 133 · 41 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ -3 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-357,2034] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:30:1] [-6:66:1] |
Generators of the group modulo torsion |
j |
5032738790353/1072546839 |
j-invariant |
L |
4.1087779750659 |
L(r)(E,1)/r! |
Ω |
1.4670353841263 |
Real period |
R |
0.093357847613929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33579d1 78351d1 |
Quadratic twists by: -3 -7 |