Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bi |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-612360000 = -1 · 26 · 37 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,772] |
[a1,a2,a3,a4,a6] |
Generators |
[12:68:1] [32:198:1] |
Generators of the group modulo torsion |
j |
13144256/13125 |
j-invariant |
L |
6.7861811562588 |
L(r)(E,1)/r! |
Ω |
1.0717129147094 |
Real period |
R |
6.3320886247778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160bs1 10080bx4 6720z1 100800fv1 |
Quadratic twists by: -4 8 -3 5 |