Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120i |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2626167507200 = 28 · 52 · 177 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41327,-3232754] |
[a1,a2,a3,a4,a6] |
j |
1263257424/425 |
j-invariant |
L |
1.3393986116925 |
L(r)(E,1)/r! |
Ω |
0.33484965292312 |
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 |
11560j1 92480cw1 115600a1 1360a1 |
Quadratic twists by: -4 8 5 17 |