Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344w |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14856224768 = -1 · 223 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3436,77744] |
[a1,a2,a3,a4,a6] |
Generators |
[840:836:27] |
Generators of the group modulo torsion |
j |
-17113674033/56672 |
j-invariant |
L |
11.260706700902 |
L(r)(E,1)/r! |
Ω |
1.2522733641866 |
Real period |
R |
4.4961056360506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ea1 3542l1 |
Quadratic twists by: -4 8 |