Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368bk |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-1554904512 = -1 · 26 · 38 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,1892] |
[a1,a2,a3,a4,a6] |
j |
314432/33327 |
j-invariant |
L |
2.3096473382561 |
L(r)(E,1)/r! |
Ω |
1.1548236690372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46368t1 92736bp1 15456b1 |
Quadratic twists by: -4 8 -3 |