Atkin-Lehner |
2- 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190bg |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-24651011874816000 = -1 · 216 · 39 · 53 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32672,-7880381] |
[a1,a2,a3,a4,a6] |
Generators |
[437:-8039:1] |
Generators of the group modulo torsion |
j |
-195950835257787/1252401152000 |
j-invariant |
L |
9.3539831663314 |
L(r)(E,1)/r! |
Ω |
0.15831196779976 |
Real period |
R |
0.61547668191787 |
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 |
35190b1 |
Quadratic twists by: -3 |