Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cy |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3082060800 = 210 · 33 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1205,15777] |
[a1,a2,a3,a4,a6] |
Generators |
[4:103:1] |
Generators of the group modulo torsion |
j |
564174247447/8985600 |
j-invariant |
L |
9.7301634169403 |
L(r)(E,1)/r! |
Ω |
1.4245682284006 |
Real period |
R |
0.22767514682594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330t1 95550bc1 19110br1 |
Quadratic twists by: -3 5 -7 |