Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600b |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
44109440000000000 = 216 · 510 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2290700,1334406000] |
[a1,a2,a3,a4,a6] |
Generators |
[854:992:1] |
Generators of the group modulo torsion |
j |
1298160537477444/43075625 |
j-invariant |
L |
4.7520987336024 |
L(r)(E,1)/r! |
Ω |
0.33635099615605 |
Real period |
R |
3.5320980071655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bd1 8200g1 13120a1 |
Quadratic twists by: -4 8 5 |