Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13520bg |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5429503678976000000 = 215 · 56 · 139 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1591360,-765036492] |
[a1,a2,a3,a4,a6] |
j |
10260751717/125000 |
j-invariant |
L |
1.6142046304536 |
L(r)(E,1)/r! |
Ω |
0.1345170525378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1690i2 54080cp2 121680ef2 67600cs2 |
Quadratic twists by: -4 8 -3 5 |