Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192i |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-33469124680368 = -1 · 24 · 39 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30846,-2103689] |
[a1,a2,a3,a4,a6] |
Generators |
[298534531:-13315232250:148877] |
Generators of the group modulo torsion |
j |
-278274085316608/2869437987 |
j-invariant |
L |
5.2185279568757 |
L(r)(E,1)/r! |
Ω |
0.18001259278076 |
Real period |
R |
14.4948969633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096e1 38064k1 |
Quadratic twists by: -4 -3 |