Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680co |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-529514496000 = -1 · 217 · 35 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1759,-19905] |
[a1,a2,a3,a4,a6] |
Generators |
[19:144:1] |
Generators of the group modulo torsion |
j |
4589489518/4039875 |
j-invariant |
L |
7.3838509378408 |
L(r)(E,1)/r! |
Ω |
0.50927784939047 |
Real period |
R |
0.72493344619176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680dm1 15960b1 |
Quadratic twists by: -4 8 |