Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dg |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
30159360 |
Modular degree for the optimal curve |
Δ |
-2.214587266627E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132107961,588767560335] |
[a1,a2,a3,a4,a6] |
Generators |
[-11334:793881:1] |
Generators of the group modulo torsion |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
8.3527760041355 |
L(r)(E,1)/r! |
Ω |
0.082598564260891 |
Real period |
R |
1.9828422409844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999626668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160fn1 7260g1 116160dh1 |
Quadratic twists by: -4 8 -11 |