Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192x |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1136229571008 = -1 · 26 · 38 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2270,-66816] |
[a1,a2,a3,a4,a6] |
j |
-171879616/150903 |
j-invariant |
L |
2.6686275525545 |
L(r)(E,1)/r! |
Ω |
0.33357850326702 |
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 |
108192g1 2208c1 |
Quadratic twists by: -4 -7 |