Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096bk |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-19019478896 = -1 · 24 · 117 · 61 |
Discriminant |
Eigenvalues |
2- -3 -2 1 11- -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121,6655] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:83:1] [22:121:1] |
Generators of the group modulo torsion |
j |
-6912/671 |
j-invariant |
L |
6.2969652863341 |
L(r)(E,1)/r! |
Ω |
1.0043958070845 |
Real period |
R |
1.5673515471097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999964373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29524k1 10736i1 |
Quadratic twists by: -4 -11 |