Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18850q |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-147265625000 = -1 · 23 · 511 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 4 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13438,-605469] |
[a1,a2,a3,a4,a6] |
Generators |
[375:6687:1] |
Generators of the group modulo torsion |
j |
-17175508997401/9425000 |
j-invariant |
L |
5.3442008469079 |
L(r)(E,1)/r! |
Ω |
0.22170293238594 |
Real period |
R |
2.0087694185316 |
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 |
3770c1 |
Quadratic twists by: 5 |