Atkin-Lehner |
2+ 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130z |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15719424 |
Modular degree for the optimal curve |
Δ |
1.8887148338688E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80333909,277123660832] |
[a1,a2,a3,a4,a6] |
Generators |
[337044:542071:64] |
Generators of the group modulo torsion |
j |
9945716696485183208329/327628800000000 |
j-invariant |
L |
6.3192466187532 |
L(r)(E,1)/r! |
Ω |
0.13827489555794 |
Real period |
R |
5.7125758007808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130x1 |
Quadratic twists by: -7 |