Atkin-Lehner |
2+ 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550f |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-14773437500 = -1 · 22 · 59 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 0 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-18102] |
[a1,a2,a3,a4,a6] |
Generators |
[42:41:1] |
Generators of the group modulo torsion |
j |
-13841287201/945500 |
j-invariant |
L |
4.2311254950572 |
L(r)(E,1)/r! |
Ω |
0.39984267512257 |
Real period |
R |
1.3227469710831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18910h1 |
Quadratic twists by: 5 |