Atkin-Lehner |
2+ 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130l |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1038589619313600 = -1 · 26 · 312 · 52 · 313 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15726,1353316] |
[a1,a2,a3,a4,a6] |
Generators |
[1085:35457:1] |
Generators of the group modulo torsion |
j |
430148313014718311/1038589619313600 |
j-invariant |
L |
5.7564281185081 |
L(r)(E,1)/r! |
Ω |
0.34337804317112 |
Real period |
R |
4.1910281051657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
114390bw1 |
Quadratic twists by: -3 |