Atkin-Lehner |
2+ 3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214h |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-36530676 = -1 · 22 · 35 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185,992] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:28:1] [9:4:1] |
Generators of the group modulo torsion |
j |
-694800198793/36530676 |
j-invariant |
L |
6.2860933136982 |
L(r)(E,1)/r! |
Ω |
2.0329477370757 |
Real period |
R |
0.15460538407007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642br1 |
Quadratic twists by: -3 |