Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
117670k |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-150617600 = -1 · 29 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,129,229] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] [1:18:1] |
Generators of the group modulo torsion |
j |
141160991/89600 |
j-invariant |
L |
12.859083967421 |
L(r)(E,1)/r! |
Ω |
1.1369777432422 |
Real period |
R |
0.62832677051925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670o1 |
Quadratic twists by: 41 |