Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-112963092480 = -1 · 221 · 34 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,28959] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:192:1] |
Generators of the group modulo torsion |
j |
-1732323601/430920 |
j-invariant |
L |
7.0487779112173 |
L(r)(E,1)/r! |
Ω |
1.0030731746307 |
Real period |
R |
0.43919888515695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680do1 3990s1 |
Quadratic twists by: -4 8 |