Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
27888t |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-250992 = -1 · 24 · 33 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238,-1337] |
[a1,a2,a3,a4,a6] |
Generators |
[15129:34435:729] |
Generators of the group modulo torsion |
j |
-93574624000/15687 |
j-invariant |
L |
4.7224471052242 |
L(r)(E,1)/r! |
Ω |
0.60753177096321 |
Real period |
R |
7.7731689615787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6972b1 111552cv1 83664bk1 |
Quadratic twists by: -4 8 -3 |