Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200u |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-14812000000 = -1 · 28 · 56 · 7 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,9088] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-46:1] |
Generators of the group modulo torsion |
j |
-9826000/3703 |
j-invariant |
L |
3.6763343752575 |
L(r)(E,1)/r! |
Ω |
1.1730488401845 |
Real period |
R |
0.78349985297272 |
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 |
64400l1 1288b1 |
Quadratic twists by: -4 5 |