Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13630g |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-45851320 = -1 · 23 · 5 · 293 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3112:1] |
Generators of the group modulo torsion |
j |
302111711/45851320 |
j-invariant |
L |
4.7140444685947 |
L(r)(E,1)/r! |
Ω |
0.95392546601021 |
Real period |
R |
4.941732490182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109040k1 122670w1 68150g1 |
Quadratic twists by: -4 -3 5 |