Atkin-Lehner |
2- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13630k |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-21808000 = -1 · 27 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- -4 6 -4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52,279] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:21:1] |
Generators of the group modulo torsion |
j |
-15271450641/21808000 |
j-invariant |
L |
6.7087098670683 |
L(r)(E,1)/r! |
Ω |
1.9332185771396 |
Real period |
R |
0.16524896791287 |
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 |
109040q1 122670j1 68150d1 |
Quadratic twists by: -4 -3 5 |