Atkin-Lehner |
2+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664c |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-32726512 = -1 · 24 · 72 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -2 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25,-271] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] [16:65:1] |
Generators of the group modulo torsion |
j |
108000000/2045407 |
j-invariant |
L |
7.7972151519056 |
L(r)(E,1)/r! |
Ω |
1.010450710983 |
Real period |
R |
1.286095248908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832g1 110656x1 |
Quadratic twists by: -4 8 |