Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dl |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
814787712000 = 210 · 32 · 53 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2621,-28845] |
[a1,a2,a3,a4,a6] |
Generators |
[211:2976:1] |
Generators of the group modulo torsion |
j |
1945317554176/795691125 |
j-invariant |
L |
5.8511577869342 |
L(r)(E,1)/r! |
Ω |
0.69156426049413 |
Real period |
R |
4.2303789547724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840h1 6960l1 83520gq1 |
Quadratic twists by: -4 8 -3 |