Atkin-Lehner |
3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106329f |
Isogeny class |
Conductor |
106329 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
2375289884983607343 = 39 · 239 · 67 |
Discriminant |
Eigenvalues |
-1 3- 4 2 1 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-603071,164252898] |
[a1,a2,a3,a4,a6] |
Generators |
[757:11524:1] |
Generators of the group modulo torsion |
j |
163855897047361/16045365087 |
j-invariant |
L |
8.3108744703256 |
L(r)(E,1)/r! |
Ω |
0.25115319462041 |
Real period |
R |
1.838380932331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623c1 |
Quadratic twists by: -23 |