Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200c |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
151230000000000 = 210 · 3 · 510 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-999408,384891312] |
[a1,a2,a3,a4,a6] |
Generators |
[5866:54125:8] |
Generators of the group modulo torsion |
j |
6899738457608356/9451875 |
j-invariant |
L |
5.4410170333703 |
L(r)(E,1)/r! |
Ω |
0.49045121530549 |
Real period |
R |
5.5469503046808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600be2 17040d2 |
Quadratic twists by: -4 5 |