Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450a |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-10293750000000 = -1 · 27 · 33 · 511 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 3 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7167,281741] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-327:1] |
Generators of the group modulo torsion |
j |
-96513090003/24400000 |
j-invariant |
L |
4.0632441635432 |
L(r)(E,1)/r! |
Ω |
0.68836878229577 |
Real period |
R |
0.73783927090504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27450bd1 5490n1 |
Quadratic twists by: -3 5 |