Atkin-Lehner |
2- 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470z |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
242611776000000 = 212 · 32 · 56 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16775,-378115] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:638:1] |
Generators of the group modulo torsion |
j |
522050981651535601/242611776000000 |
j-invariant |
L |
7.3456618164666 |
L(r)(E,1)/r! |
Ω |
0.43869667338941 |
Real period |
R |
0.4651190080655 |
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 |
58410e2 97350bb2 |
Quadratic twists by: -3 5 |