Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320s |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-2093921280 = -1 · 210 · 37 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 11+ 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-2306] |
[a1,a2,a3,a4,a6] |
j |
-470596/2805 |
j-invariant |
L |
4.9077491730091 |
L(r)(E,1)/r! |
Ω |
0.61346864748165 |
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 |
22440v1 |
Quadratic twists by: -3 |