Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574d |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
83478619064256 = 26 · 3 · 139 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 1 13+ 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10988,53136] |
[a1,a2,a3,a4,a6] |
j |
30400540561/17294784 |
j-invariant |
L |
2.086616947705 |
L(r)(E,1)/r! |
Ω |
0.52165423693415 |
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 |
124722bo1 3198e1 |
Quadratic twists by: -3 13 |