Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800cf |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3318750000 = -1 · 24 · 32 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,367,738] |
[a1,a2,a3,a4,a6] |
Generators |
[1674:24375:8] |
Generators of the group modulo torsion |
j |
21807104/13275 |
j-invariant |
L |
8.9832235390311 |
L(r)(E,1)/r! |
Ω |
0.86943685082426 |
Real period |
R |
5.1661161647352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700b1 14160q1 |
Quadratic twists by: -4 5 |