Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408f |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
10438300224 = 26 · 36 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-814,-7744] |
[a1,a2,a3,a4,a6] |
j |
933147667648/163098441 |
j-invariant |
L |
2.7132111968358 |
L(r)(E,1)/r! |
Ω |
0.90440373232222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45408a1 90816bq2 |
Quadratic twists by: -4 8 |