Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850dk |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-629944573500000000 = -1 · 28 · 39 · 59 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,129895,-33700103] |
[a1,a2,a3,a4,a6] |
j |
788120875053/2048288000 |
j-invariant |
L |
4.759075440061 |
L(r)(E,1)/r! |
Ω |
0.14872112551334 |
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 |
113850a1 22770f1 |
Quadratic twists by: -3 5 |