Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15656b |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
5315024128 = 28 · 19 · 1033 |
Discriminant |
Eigenvalues |
2+ 1 2 3 -6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-532,2992] |
[a1,a2,a3,a4,a6] |
Generators |
[24:68:1] |
Generators of the group modulo torsion |
j |
65168050768/20761813 |
j-invariant |
L |
6.7537270299349 |
L(r)(E,1)/r! |
Ω |
1.2556669613126 |
Real period |
R |
2.6892986906636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312i1 125248q1 |
Quadratic twists by: -4 8 |