Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800d |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-427791718750000 = -1 · 24 · 510 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 11+ 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14583,-1208912] |
[a1,a2,a3,a4,a6] |
Generators |
[2636366838:13057061497:16387064] |
Generators of the group modulo torsion |
j |
-2195200000/2737867 |
j-invariant |
L |
3.4355377453093 |
L(r)(E,1)/r! |
Ω |
0.20744429273637 |
Real period |
R |
16.561254589987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400s1 74800s1 |
Quadratic twists by: -4 5 |