Atkin-Lehner |
2+ 3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390m |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
258509961000000 = 26 · 38 · 56 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69489,7025373] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:3119:1] |
Generators of the group modulo torsion |
j |
50903528203776529/354609000000 |
j-invariant |
L |
4.5714250280029 |
L(r)(E,1)/r! |
Ω |
0.55570579265284 |
Real period |
R |
0.68552837712519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998811017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130w1 |
Quadratic twists by: -3 |