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 |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
-9.8100444E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8129901,8934321448] |
[a1,a2,a3,a4,a6] |
Generators |
[1648:2744:1] [2332:50396:1] |
Generators of the group modulo torsion |
j |
-3803289466723322804929/6278428416000000 |
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 |
23790k1 |
Quadratic twists by: 5 |