Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8520c |
Isogeny class |
Conductor |
8520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-57510000000000 = -1 · 210 · 34 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6416,417180] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:720:1] |
Generators of the group modulo torsion |
j |
-28528865980996/56162109375 |
j-invariant |
L |
3.1658938973653 |
L(r)(E,1)/r! |
Ω |
0.55814967887512 |
Real period |
R |
2.8360617386234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17040h1 68160bj1 25560o1 42600bb1 |
Quadratic twists by: -4 8 -3 5 |