Atkin-Lehner |
2- 3- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
41292f |
Isogeny class |
Conductor |
41292 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-495008496 = -1 · 24 · 36 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 0 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124509,-16910219] |
[a1,a2,a3,a4,a6] |
j |
-18301152350854912/42439 |
j-invariant |
L |
1.5249324943219 |
L(r)(E,1)/r! |
Ω |
0.12707770784902 |
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 |
4588e1 |
Quadratic twists by: -3 |