Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056l |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
85350443984 = 24 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21386,1203685] |
[a1,a2,a3,a4,a6] |
Generators |
[44168:14265:512] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
3.6997561601051 |
L(r)(E,1)/r! |
Ω |
1.0276366541711 |
Real period |
R |
7.2005141994264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60112j1 1768e1 |
Quadratic twists by: -4 17 |