Atkin-Lehner |
5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525h |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-895976180421875 = -1 · 56 · 711 · 29 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 2 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,24092,41593] |
[a1,a2,a3,a4,a6] |
j |
841232384/487403 |
j-invariant |
L |
2.3917438670265 |
L(r)(E,1)/r! |
Ω |
0.2989679833813 |
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 |
1421e1 5075c1 |
Quadratic twists by: 5 -7 |