Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
27846j |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
728640 |
Modular degree for the optimal curve |
Δ |
-3838721516346802176 = -1 · 223 · 36 · 75 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,377964,29683408] |
[a1,a2,a3,a4,a6] |
Generators |
[5279:383519:1] |
Generators of the group modulo torsion |
j |
8191187117050762943/5265735962066944 |
j-invariant |
L |
2.3312162532934 |
L(r)(E,1)/r! |
Ω |
0.15478712006493 |
Real period |
R |
7.5303948168154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094d1 |
Quadratic twists by: -3 |