Atkin-Lehner |
2- 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688ba |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3075072 |
Modular degree for the optimal curve |
Δ |
-1.9898709033681E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18304,678694068] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-26112:1] |
Generators of the group modulo torsion |
j |
165568631260031/48580832601759744 |
j-invariant |
L |
6.178317642213 |
L(r)(E,1)/r! |
Ω |
0.14155468156142 |
Real period |
R |
1.363942359778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586l1 |
Quadratic twists by: -4 |