Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366h |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
8508629215036672 = 28 · 199 · 103 |
Discriminant |
Eigenvalues |
2- 1 -2 -3 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69139,-5415647] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:821:1] |
Generators of the group modulo torsion |
j |
776911912057/180858112 |
j-invariant |
L |
7.2210467029506 |
L(r)(E,1)/r! |
Ω |
0.29936462074707 |
Real period |
R |
1.5075776751498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3914d1 |
Quadratic twists by: -19 |