Atkin-Lehner |
2- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27472n |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
439552 = 28 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3 0 3 1 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,92] |
[a1,a2,a3,a4,a6] |
j |
27648000/1717 |
j-invariant |
L |
5.8470090910147 |
L(r)(E,1)/r! |
Ω |
2.9235045455077 |
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 |
6868a1 109888x1 |
Quadratic twists by: -4 8 |