Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550x |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
705280000000 = 214 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3813,79531] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:412:1] |
Generators of the group modulo torsion |
j |
392383937161/45137920 |
j-invariant |
L |
6.0169197045823 |
L(r)(E,1)/r! |
Ω |
0.87459562093095 |
Real period |
R |
0.12285105499421 |
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 |
5510g1 |
Quadratic twists by: 5 |