Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33320m |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10176 |
Modular degree for the optimal curve |
Δ |
1066240 = 28 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -6 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-28] |
[a1,a2,a3,a4,a6] |
j |
193536/85 |
j-invariant |
L |
4.3218815968864 |
L(r)(E,1)/r! |
Ω |
2.1609407984441 |
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 |
66640j1 33320o1 |
Quadratic twists by: -4 -7 |