Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
83304g |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3468556846070784 = -1 · 210 · 37 · 133 · 893 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 5 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,-2833594] |
[a1,a2,a3,a4,a6] |
Generators |
[871:25632:1] |
Generators of the group modulo torsion |
j |
-188183524/4646450679 |
j-invariant |
L |
4.236000767556 |
L(r)(E,1)/r! |
Ω |
0.20303075581386 |
Real period |
R |
1.7386531539825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768g1 |
Quadratic twists by: -3 |