Atkin-Lehner |
2+ 3+ 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558c |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
375840 |
Modular degree for the optimal curve |
Δ |
-11874940543968768 = -1 · 29 · 315 · 7 · 173 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 1 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46342,6479380] |
[a1,a2,a3,a4,a6] |
j |
-11006840512510998121/11874940543968768 |
j-invariant |
L |
0.36497908426133 |
L(r)(E,1)/r! |
Ω |
0.36497908425569 |
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 |
100674be1 |
Quadratic twists by: -3 |