Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600cc |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
922368160000000000 = 214 · 510 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346675,-63540750] |
[a1,a2,a3,a4,a6] |
Generators |
[5719:430122:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
4.0662270928965 |
L(r)(E,1)/r! |
Ω |
0.19950784807355 |
Real period |
R |
5.0953222293759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2450e2 78400gy2 3920ba2 2800o2 |
Quadratic twists by: -4 8 5 -7 |