Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27753g |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-749331 = -1 · 34 · 11 · 292 |
Discriminant |
Eigenvalues |
2 3- 1 -2 11- 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[26:47:8] |
Generators of the group modulo torsion |
j |
118784/891 |
j-invariant |
L |
13.574290105297 |
L(r)(E,1)/r! |
Ω |
1.4142381006429 |
Real period |
R |
2.3995765103356 |
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 |
83259i1 27753b1 |
Quadratic twists by: -3 29 |