Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120dd |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-10964160 = -1 · 26 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
6.1946624533949 |
L(r)(E,1)/r! |
Ω |
1.1766100117964 |
Real period |
R |
0.87747319152782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120j1 11280m1 |
Quadratic twists by: -4 8 |