Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096bv |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-7252420146361270272 = -1 · 222 · 34 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,261448,118826352] |
[a1,a2,a3,a4,a6] |
j |
4101378352343/15049939968 |
j-invariant |
L |
1.3385792077759 |
L(r)(E,1)/r! |
Ω |
0.16732240100977 |
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 |
6762n1 7728u1 |
Quadratic twists by: -4 -7 |