Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472m |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-690864184098816 = -1 · 219 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235167745,-1388002409471] |
[a1,a2,a3,a4,a6] |
Generators |
[18305:663648:1] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
4.2945428187538 |
L(r)(E,1)/r! |
Ω |
0.019276364069969 |
Real period |
R |
7.9567146939372 |
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 |
17472cs2 546f2 52416cz2 122304dd2 |
Quadratic twists by: -4 8 -3 -7 |