Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120c |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-170163200 = -1 · 210 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -2 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201,-1199] |
[a1,a2,a3,a4,a6] |
Generators |
[24:85:1] |
Generators of the group modulo torsion |
j |
-881395456/166175 |
j-invariant |
L |
5.1505033256312 |
L(r)(E,1)/r! |
Ω |
0.62730266785153 |
Real period |
R |
2.0526388433711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120br1 7820c1 |
Quadratic twists by: -4 8 |