Atkin-Lehner |
2- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bl |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
24869622131200 = 29 · 52 · 72 · 113 · 313 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51678,4493851] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:2823:1] [119:157:1] |
Generators of the group modulo torsion |
j |
610522004561115145/994784885248 |
j-invariant |
L |
14.099260693114 |
L(r)(E,1)/r! |
Ω |
0.6716426930761 |
Real period |
R |
0.12958150861978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350z1 |
Quadratic twists by: 5 |