Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192bk |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
476672 |
Modular degree for the optimal curve |
Δ |
-1039271314281984 = -1 · 29 · 37 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11776,1631092] |
[a1,a2,a3,a4,a6] |
j |
-8741816/50301 |
j-invariant |
L |
1.7014600300199 |
L(r)(E,1)/r! |
Ω |
0.42536498994003 |
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 |
108192bs1 108192bx1 |
Quadratic twists by: -4 -7 |