Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925n |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-5761360184765625 = -1 · 313 · 58 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 11+ 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15862,3576656] |
[a1,a2,a3,a4,a6] |
Generators |
[86:2320:1] |
Generators of the group modulo torsion |
j |
1129889057855/14749082073 |
j-invariant |
L |
2.4740962645937 |
L(r)(E,1)/r! |
Ω |
0.31575988047675 |
Real period |
R |
3.9176862191266 |
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 |
71775by1 23925t1 |
Quadratic twists by: -3 5 |