Atkin-Lehner |
3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27753a |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2520 |
Modular degree for the optimal curve |
Δ |
-305283 = -1 · 3 · 112 · 292 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11+ 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[6:5:1] |
Generators of the group modulo torsion |
j |
-950272/363 |
j-invariant |
L |
2.0651751223324 |
L(r)(E,1)/r! |
Ω |
1.1171942131769 |
Real period |
R |
0.92426862669645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83259k1 27753h1 |
Quadratic twists by: -3 29 |