Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630g |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4600975511934744000 = -1 · 26 · 3 · 53 · 618 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3352699,-2365402234] |
[a1,a2,a3,a4,a6] |
j |
-21740450569/24000 |
j-invariant |
L |
3.0122142304871 |
L(r)(E,1)/r! |
Ω |
0.05578175674557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630v2 |
Quadratic twists by: 61 |