Atkin-Lehner |
2+ 3+ 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810c |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
65598478884000000 = 28 · 310 · 56 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-334857,-73697211] |
[a1,a2,a3,a4,a6] |
j |
4152444961128795872281/65598478884000000 |
j-invariant |
L |
1.191932378876 |
L(r)(E,1)/r! |
Ω |
0.19865539647934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126480by2 47430bb2 79050cb2 |
Quadratic twists by: -4 -3 5 |