Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ch |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-2.465353378196E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4116726,-6837137420] |
[a1,a2,a3,a4,a6] |
Generators |
[2151:108317:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
4.2961347586322 |
L(r)(E,1)/r! |
Ω |
0.06110169123886 |
Real period |
R |
3.5155612498125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cd1 1710c1 |
Quadratic twists by: -3 -7 |