Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202bc |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
3366501108029696 = 28 · 73 · 138 · 47 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45042,2378111] |
[a1,a2,a3,a4,a6] |
j |
2093713241257/697458944 |
j-invariant |
L |
9.8695509903815 |
L(r)(E,1)/r! |
Ω |
0.41123129994262 |
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 |
8554b1 |
Quadratic twists by: 13 |