Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
3350d |
Isogeny class |
Conductor |
3350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-408935546875000 = -1 · 23 · 517 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -5 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13105,-1128103] |
[a1,a2,a3,a4,a6] |
j |
-15928823248281/26171875000 |
j-invariant |
L |
2.5336358446322 |
L(r)(E,1)/r! |
Ω |
0.21113632038601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26800v1 107200k1 30150t1 670a1 |
Quadratic twists by: -4 8 -3 5 |