Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
13136356800 = 26 · 32 · 52 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2220,39150] |
[a1,a2,a3,a4,a6] |
Generators |
[33:54:1] [45:180:1] |
Generators of the group modulo torsion |
j |
18914648497984/205255575 |
j-invariant |
L |
14.620756071039 |
L(r)(E,1)/r! |
Ω |
1.2652675839054 |
Real period |
R |
5.7777328150441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680et1 63840bf3 |
Quadratic twists by: -4 8 |