Atkin-Lehner |
3- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275m |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-8785756171875 = -1 · 3 · 57 · 294 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 4 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2617,-132106] |
[a1,a2,a3,a4,a6] |
Generators |
[12264:31366:343] |
Generators of the group modulo torsion |
j |
126808653824/562288395 |
j-invariant |
L |
8.5744861231021 |
L(r)(E,1)/r! |
Ω |
0.37009177482576 |
Real period |
R |
2.8960675007144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23055c1 |
Quadratic twists by: 5 |