Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40432b |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
652440557783056 = 24 · 74 · 198 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 4 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70876,7181627] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:3773:1] |
Generators of the group modulo torsion |
j |
144903424/2401 |
j-invariant |
L |
4.0744352479209 |
L(r)(E,1)/r! |
Ω |
0.51256014897142 |
Real period |
R |
3.9745923050166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216j1 40432e1 |
Quadratic twists by: -4 -19 |