Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bq |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-7442153510373918 = -1 · 2 · 315 · 73 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17735,-4244515] |
[a1,a2,a3,a4,a6] |
Generators |
[2865786:32938993:10648] |
Generators of the group modulo torsion |
j |
-846187887651625/10208715377742 |
j-invariant |
L |
10.40695148467 |
L(r)(E,1)/r! |
Ω |
0.17808248156903 |
Real period |
R |
9.739823382329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758j1 |
Quadratic twists by: -3 |