Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288h |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
803712 |
Modular degree for the optimal curve |
Δ |
109092253016474896 = 24 · 710 · 176 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -3 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231296,-39680171] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
0.43760158522751 |
L(r)(E,1)/r! |
Ω |
0.21880046511462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288a1 392b1 |
Quadratic twists by: -7 17 |