Atkin-Lehner |
3+ 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225b |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8833536 |
Modular degree for the optimal curve |
Δ |
-1.2514915266031E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 -5 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6547958,-6667852432] |
[a1,a2,a3,a4,a6] |
Generators |
[102090044:5529206299:21952] |
Generators of the group modulo torsion |
j |
-1987107706733542912000/80095457702598147 |
j-invariant |
L |
2.2840987416723 |
L(r)(E,1)/r! |
Ω |
0.04707806200377 |
Real period |
R |
12.129315945991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999518307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4209c1 |
Quadratic twists by: 5 |