Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bk |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2350805811200000 = 220 · 55 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209066828,1163525239952] |
[a1,a2,a3,a4,a6] |
Generators |
[29908798173:1555382521:3581577] |
Generators of the group modulo torsion |
j |
3855131356812007128171561/8967612500 |
j-invariant |
L |
4.6734221866901 |
L(r)(E,1)/r! |
Ω |
0.21291596102299 |
Real period |
R |
10.974804716931 |
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 |
24640e4 6160p4 123200ea4 |
Quadratic twists by: -4 8 5 |