Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890i |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23921150866329600 = 212 · 314 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213390,37257556] |
[a1,a2,a3,a4,a6] |
Generators |
[-493:4985:1] |
Generators of the group modulo torsion |
j |
1474074790091785441/32813650022400 |
j-invariant |
L |
3.1386713580093 |
L(r)(E,1)/r! |
Ω |
0.37864446129377 |
Real period |
R |
2.0723077179612 |
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 |
6630t2 99450ct2 |
Quadratic twists by: -3 5 |