Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120l |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-331299584000 = -1 · 211 · 53 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 11- 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3283,-77518] |
[a1,a2,a3,a4,a6] |
Generators |
[134901:1733068:729] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
10.756558318863 |
L(r)(E,1)/r! |
Ω |
0.31383782775352 |
Real period |
R |
8.5685642134468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560c1 880d1 |
Quadratic twists by: -4 -7 |