Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850eu |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-4228315507231200 = -1 · 25 · 35 · 52 · 711 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31702,-2237929] |
[a1,a2,a3,a4,a6] |
j |
1197993859655/1437603552 |
j-invariant |
L |
4.7011276838239 |
L(r)(E,1)/r! |
Ω |
0.23505637991966 |
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 |
80850dk2 11550cn1 |
Quadratic twists by: 5 -7 |