Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bk |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-23221177260750000 = -1 · 24 · 37 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,55500,5331625] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-3325:1] |
Generators of the group modulo torsion |
j |
103737344000/127413867 |
j-invariant |
L |
5.9663855491056 |
L(r)(E,1)/r! |
Ω |
0.25454067994935 |
Real period |
R |
0.65110586699212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39900u1 4788b1 |
Quadratic twists by: -3 5 |