Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850b |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
20778194250000 = 24 · 33 · 56 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4809867,-4059000459] |
[a1,a2,a3,a4,a6] |
Generators |
[-64126550:32016737:50653] |
Generators of the group modulo torsion |
j |
29170184477654905875/49252016 |
j-invariant |
L |
3.8252158225126 |
L(r)(E,1)/r! |
Ω |
0.10194508294944 |
Real period |
R |
9.3805794974683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850dl1 4554s1 |
Quadratic twists by: -3 5 |