Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840o |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1436482849996800000 = 228 · 310 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-286721,-12820479] |
[a1,a2,a3,a4,a6] |
j |
9944061759313921/5479747200000 |
j-invariant |
L |
0.44149396405209 |
L(r)(E,1)/r! |
Ω |
0.22074698202623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840dp1 870i1 83520ce1 |
Quadratic twists by: -4 8 -3 |