Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
117242d |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-866203592656 = -1 · 24 · 316 · 61 |
Discriminant |
Eigenvalues |
2+ 2 1 -5 3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2383,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1381:1] |
Generators of the group modulo torsion |
j |
1685159/976 |
j-invariant |
L |
6.6344611971834 |
L(r)(E,1)/r! |
Ω |
0.52873727148232 |
Real period |
R |
1.5684683116912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999290714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122a1 |
Quadratic twists by: -31 |