Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826bn |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
2990365666624512 = 210 · 33 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-462990,-121266684] |
[a1,a2,a3,a4,a6] |
Generators |
[-396:330:1] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
7.1036471529707 |
L(r)(E,1)/r! |
Ω |
0.18302640427925 |
Real period |
R |
1.293738132292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478s1 1254c1 |
Quadratic twists by: -3 -19 |