Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950y |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
662479535250000000 = 27 · 32 · 59 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-130129901,571354321448] |
[a1,a2,a3,a4,a6] |
Generators |
[-13158:81166:1] [32406:2645543:8] |
Generators of the group modulo torsion |
j |
15596781192321910867124929/42398690256000 |
j-invariant |
L |
10.432493527762 |
L(r)(E,1)/r! |
Ω |
0.18945774679773 |
Real period |
R |
4.5887511888292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790k2 |
Quadratic twists by: 5 |