Atkin-Lehner |
2+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472g |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
37824227528360192 = 28 · 175 · 1014 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459684,-119748068] |
[a1,a2,a3,a4,a6] |
j |
41962644984639710032/147750888782657 |
j-invariant |
L |
0.9169519698836 |
L(r)(E,1)/r! |
Ω |
0.18339039397669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13736h1 109888ba1 |
Quadratic twists by: -4 8 |