Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bs |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
24796327500000000 = 28 · 35 · 510 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141005438,644457063492] |
[a1,a2,a3,a4,a6] |
Generators |
[6868:-1670:1] |
Generators of the group modulo torsion |
j |
19843180007106582309156121/1586964960000 |
j-invariant |
L |
8.7209511032094 |
L(r)(E,1)/r! |
Ω |
0.21028083548939 |
Real period |
R |
0.51841095521811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550bh4 3570i3 124950fx4 |
Quadratic twists by: -3 5 -7 |