Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840c |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-93960000 = -1 · 26 · 34 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,486] |
[a1,a2,a3,a4,a6] |
Generators |
[90:297:8] |
Generators of the group modulo torsion |
j |
-82881856/1468125 |
j-invariant |
L |
4.9442315633795 |
L(r)(E,1)/r! |
Ω |
1.6032037640105 |
Real period |
R |
3.0839695329876 |
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 |
27840bh1 13920bg4 83520cv1 |
Quadratic twists by: -4 8 -3 |