Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20216j |
Isogeny class |
Conductor |
20216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
65664 |
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 |
[-1206:2527:8] |
Generators of the group modulo torsion |
j |
144903424/2401 |
j-invariant |
L |
5.3906499737779 |
L(r)(E,1)/r! |
Ω |
0.29289409242962 |
Real period |
R |
0.7668656397638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40432b1 20216f1 |
Quadratic twists by: -4 -19 |