Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320n |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-15680258720000000 = -1 · 211 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 6 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91483,12236182] |
[a1,a2,a3,a4,a6] |
j |
-351420193602/65078125 |
j-invariant |
L |
0.7542096572075 |
L(r)(E,1)/r! |
Ω |
0.3771048286046 |
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 |
66640i1 4760e1 |
Quadratic twists by: -4 -7 |