Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530i |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-2648777497860226500 = -1 · 22 · 35 · 53 · 197 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 -3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218427,-87699951] |
[a1,a2,a3,a4,a6] |
Generators |
[1148:33721:1] |
Generators of the group modulo torsion |
j |
-1152512864423631752761/2648777497860226500 |
j-invariant |
L |
3.5914430570024 |
L(r)(E,1)/r! |
Ω |
0.10319705206077 |
Real period |
R |
0.82861426047217 |
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 |
49590bu1 82650cm1 |
Quadratic twists by: -3 5 |