Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200y |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5649750000 = -1 · 24 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 4 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-46437] |
[a1,a2,a3,a4,a6] |
Generators |
[109:999:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
6.6985266347936 |
L(r)(E,1)/r! |
Ω |
0.34067897353625 |
Real period |
R |
3.2770472865131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600d1 111600br1 1488b1 |
Quadratic twists by: -4 -3 5 |