Atkin-Lehner |
5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19355k |
Isogeny class |
Conductor |
19355 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
84678125 = 55 · 73 · 79 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -5 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1185,15306] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:17:1] [10:67:1] |
Generators of the group modulo torsion |
j |
536971313152/246875 |
j-invariant |
L |
4.6083218760239 |
L(r)(E,1)/r! |
Ω |
1.8897016389981 |
Real period |
R |
0.24386505154687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775j1 19355g1 |
Quadratic twists by: 5 -7 |