Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27300n |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-237569505468750000 = -1 · 24 · 32 · 511 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127367,15657488] |
[a1,a2,a3,a4,a6] |
j |
914010221133824/950278021875 |
j-invariant |
L |
3.725123890619 |
L(r)(E,1)/r! |
Ω |
0.2069513272566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ea1 81900r1 5460c1 |
Quadratic twists by: -4 -3 5 |