Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720h |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-610208797690800 = -1 · 24 · 37 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20022,472673] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:385:1] |
Generators of the group modulo torsion |
j |
76102438406144/52315569075 |
j-invariant |
L |
4.9506212543003 |
L(r)(E,1)/r! |
Ω |
0.32476187342915 |
Real period |
R |
0.95274061923181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440m1 9240y1 |
Quadratic twists by: -4 -3 |