Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15210bk |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
144145170 = 2 · 38 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6233,-187833] |
[a1,a2,a3,a4,a6] |
j |
16718302693/90 |
j-invariant |
L |
4.2985387274884 |
L(r)(E,1)/r! |
Ω |
0.53731734093605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680eh2 5070g2 76050bz2 15210w2 |
Quadratic twists by: -4 -3 5 13 |