Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680do |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
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 |
[128:1359:1] |
Generators of the group modulo torsion |
j |
-1732323601/430920 |
j-invariant |
L |
5.8444738965716 |
L(r)(E,1)/r! |
Ω |
0.37247599995765 |
Real period |
R |
3.9227184840457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998921759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cc1 31920bz1 |
Quadratic twists by: -4 8 |