Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13630g |
Isogeny class |
Conductor |
13630 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-752716750 = -1 · 2 · 53 · 29 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3176,-69170] |
[a1,a2,a3,a4,a6] |
Generators |
[248758120:3442669075:1124864] |
Generators of the group modulo torsion |
j |
-3543021108574849/752716750 |
j-invariant |
L |
4.7140444685947 |
L(r)(E,1)/r! |
Ω |
0.31797515533674 |
Real period |
R |
14.825197470546 |
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 |
109040k2 122670w2 68150g2 |
Quadratic twists by: -4 -3 5 |