Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62560c |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1223048000000 = 29 · 56 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166536,26102860] |
[a1,a2,a3,a4,a6] |
Generators |
[507:8500:1] |
Generators of the group modulo torsion |
j |
997655834093788232/2388765625 |
j-invariant |
L |
3.1235992838961 |
L(r)(E,1)/r! |
Ω |
0.74663110956559 |
Real period |
R |
2.0917955625336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62560a2 125120dg2 |
Quadratic twists by: -4 8 |