Atkin-Lehner |
2+ 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202d |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2483712 |
Modular degree for the optimal curve |
Δ |
-2284599284483489792 = -1 · 222 · 74 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,281945,44292093] |
[a1,a2,a3,a4,a6] |
j |
513518298333039/473314623488 |
j-invariant |
L |
3.0513384884794 |
L(r)(E,1)/r! |
Ω |
0.16951880668417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
658e1 |
Quadratic twists by: 13 |