Atkin-Lehner |
2+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15130f |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
257210000 = 24 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-502,-4476] |
[a1,a2,a3,a4,a6] |
Generators |
[33:111:1] |
Generators of the group modulo torsion |
j |
14034143923561/257210000 |
j-invariant |
L |
4.8930306091949 |
L(r)(E,1)/r! |
Ω |
1.009471928259 |
Real period |
R |
1.2117797613336 |
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 |
121040x1 75650be1 |
Quadratic twists by: -4 5 |