Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448n |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-46064866091376 = -1 · 24 · 3 · 1110 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 11- -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,353553] |
[a1,a2,a3,a4,a6] |
j |
-30976/111 |
j-invariant |
L |
1.1170593594478 |
L(r)(E,1)/r! |
Ω |
0.55853007027935 |
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 |
107448c1 |
Quadratic twists by: -11 |