Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bi |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3802500000000 = -1 · 28 · 32 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1508,-95988] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1500:1] |
Generators of the group modulo torsion |
j |
-94875856/950625 |
j-invariant |
L |
3.9604278108197 |
L(r)(E,1)/r! |
Ω |
0.33329453618285 |
Real period |
R |
2.9706666183142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3900k2 62400gm2 46800ea2 3120w2 |
Quadratic twists by: -4 8 -3 5 |