Atkin-Lehner |
2+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15130h |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
4115360000 = 28 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403,-402] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:45:1] |
Generators of the group modulo torsion |
j |
7212549413161/4115360000 |
j-invariant |
L |
2.1755374668983 |
L(r)(E,1)/r! |
Ω |
1.1535422609816 |
Real period |
R |
0.47149062944755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040v1 75650bc1 |
Quadratic twists by: -4 5 |