Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826j |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-78293210180714496 = -1 · 215 · 35 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27068,-13341488] |
[a1,a2,a3,a4,a6] |
Generators |
[7869:115015:27] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
3.0814523135719 |
L(r)(E,1)/r! |
Ω |
0.16522609004676 |
Real period |
R |
4.6624784147283 |
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 |
71478bw1 1254k1 |
Quadratic twists by: -3 -19 |