Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fx |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-837708480 = -1 · 26 · 39 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,-855] |
[a1,a2,a3,a4,a6] |
Generators |
[24:135:1] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
10.033339995279 |
L(r)(E,1)/r! |
Ω |
0.86033445981608 |
Real period |
R |
1.2957932103356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bh1 31920q1 |
Quadratic twists by: -4 8 |