Atkin-Lehner |
2- 3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bc |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
188453761569000000 = 26 · 314 · 56 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143438,-949219] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:3937:1] |
Generators of the group modulo torsion |
j |
447698880677295001/258509961000000 |
j-invariant |
L |
9.8694704439299 |
L(r)(E,1)/r! |
Ω |
0.26783316507861 |
Real period |
R |
3.070776800837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130r1 |
Quadratic twists by: -3 |