Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23829d |
Isogeny class |
Conductor |
23829 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
1035162284949 = 33 · 138 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -3 1 -5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5802,-160990] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:84:1] |
Generators of the group modulo torsion |
j |
4475809792/214461 |
j-invariant |
L |
1.3378416082417 |
L(r)(E,1)/r! |
Ω |
0.5486395984436 |
Real period |
R |
1.2192353705757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487q1 1833b1 |
Quadratic twists by: -3 13 |