Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320f |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-1887600000000 = -1 · 210 · 3 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18320,962832] |
[a1,a2,a3,a4,a6] |
Generators |
[94:250:1] |
Generators of the group modulo torsion |
j |
-664085303622724/1843359375 |
j-invariant |
L |
4.9413650473067 |
L(r)(E,1)/r! |
Ω |
0.83562229122765 |
Real period |
R |
0.36958721505972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160g1 102960q1 |
Quadratic twists by: -4 -3 |