Atkin-Lehner |
2+ 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27666a |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-52540108406784 = -1 · 215 · 39 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 0 4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9300,47312] |
[a1,a2,a3,a4,a6] |
j |
4519131691437/2669314048 |
j-invariant |
L |
1.5367181174001 |
L(r)(E,1)/r! |
Ω |
0.38417952935008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27666f1 |
Quadratic twists by: -3 |