Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370j |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-107315369164800 = -1 · 214 · 312 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3645,-492075] |
[a1,a2,a3,a4,a6] |
Generators |
[70:285:1] |
Generators of the group modulo torsion |
j |
7345506701519/147209011200 |
j-invariant |
L |
3.8057177901531 |
L(r)(E,1)/r! |
Ω |
0.28910608987391 |
Real period |
R |
1.6454676688994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790ba1 |
Quadratic twists by: -3 |