Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404c |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-345203834122224 = -1 · 24 · 39 · 77 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17199,-213003] |
[a1,a2,a3,a4,a6] |
Generators |
[28:539:1] |
Generators of the group modulo torsion |
j |
15185664/9317 |
j-invariant |
L |
6.2997945893952 |
L(r)(E,1)/r! |
Ω |
0.31222743520201 |
Real period |
R |
2.5221176453149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616dz2 19404g1 2772c2 |
Quadratic twists by: -4 -3 -7 |