Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600a |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
308002500000000 = 28 · 36 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16908,-50688] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:352:1] |
Generators of the group modulo torsion |
j |
133649126224/77000625 |
j-invariant |
L |
4.0974241295122 |
L(r)(E,1)/r! |
Ω |
0.45598050392225 |
Real period |
R |
4.4929817111335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7800d2 62400gv2 46800l2 3120g2 |
Quadratic twists by: -4 8 -3 5 |