Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ei |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-18450638438400000 = -1 · 225 · 33 · 55 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -3 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40545,7265025] |
[a1,a2,a3,a4,a6] |
Generators |
[365:6400:1] |
Generators of the group modulo torsion |
j |
-28119423707929/70383600000 |
j-invariant |
L |
6.2979523572548 |
L(r)(E,1)/r! |
Ω |
0.34253010146841 |
Real period |
R |
0.91932830168713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dg1 31920bp1 |
Quadratic twists by: -4 8 |