Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320h |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-62721034880000 = -1 · 210 · 54 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39216,-3026416] |
[a1,a2,a3,a4,a6] |
j |
-1129900996/10625 |
j-invariant |
L |
0.67813977350967 |
L(r)(E,1)/r! |
Ω |
0.1695349433764 |
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 |
66640a1 33320r1 |
Quadratic twists by: -4 -7 |