Atkin-Lehner |
5+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925h |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-114610234375 = -1 · 57 · 74 · 13 · 47 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1183,-4784] |
[a1,a2,a3,a4,a6] |
Generators |
[13243536:62468407:2985984] |
Generators of the group modulo torsion |
j |
11712548511/7335055 |
j-invariant |
L |
7.2020640243234 |
L(r)(E,1)/r! |
Ω |
0.60560140130625 |
Real period |
R |
11.892416447357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999429142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21385g1 |
Quadratic twists by: 5 |