Atkin-Lehner |
2- 3- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
114552i |
Isogeny class |
Conductor |
114552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-3775403100469248 = -1 · 211 · 39 · 373 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 5 -3 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25851,-3361354] |
[a1,a2,a3,a4,a6] |
j |
-1279670842226/2528749719 |
j-invariant |
L |
2.1236415275651 |
L(r)(E,1)/r! |
Ω |
0.17697009206044 |
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 |
38184a1 |
Quadratic twists by: -3 |