Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100b |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
54002278800 = 24 · 39 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14584185,-21437362935] |
[a1,a2,a3,a4,a6] |
Generators |
[-23477322:513:10648] |
Generators of the group modulo torsion |
j |
43573146510889416960/6859 |
j-invariant |
L |
5.0862751430821 |
L(r)(E,1)/r! |
Ω |
0.077255429888454 |
Real period |
R |
3.6576178747608 |
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 |
68400de2 17100a1 17100h2 |
Quadratic twists by: -4 -3 5 |