Atkin-Lehner |
2- 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738n |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
2361216 |
Modular degree for the optimal curve |
Δ |
-1940403738669594624 = -1 · 211 · 319 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -3 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162365738,-796283216535] |
[a1,a2,a3,a4,a6] |
j |
-649350761110346053734931801/2661733523552256 |
j-invariant |
L |
2.7913859782181 |
L(r)(E,1)/r! |
Ω |
0.021146863471349 |
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 |
9246a1 |
Quadratic twists by: -3 |