Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660ba |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-152972453415600 = -1 · 24 · 36 · 52 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,521017] |
[a1,a2,a3,a4,a6] |
j |
131072/325 |
j-invariant |
L |
2.4199579163061 |
L(r)(E,1)/r! |
Ω |
0.40332621696961 |
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 |
12740e1 114660cb1 |
Quadratic twists by: -3 -7 |