Atkin-Lehner |
2+ 3- 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298n |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-53753336751808512 = -1 · 213 · 313 · 73 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 13+ 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-358965,-83438667] |
[a1,a2,a3,a4,a6] |
j |
-7017027553014146641/73735715708928 |
j-invariant |
L |
4.6781674302803 |
L(r)(E,1)/r! |
Ω |
0.09746180768679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766bh1 |
Quadratic twists by: -3 |