Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340q |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1087281130430880000 = -1 · 28 · 37 · 54 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240900,67815000] |
[a1,a2,a3,a4,a6] |
j |
-21380386384/15035625 |
j-invariant |
L |
1.0163312199671 |
L(r)(E,1)/r! |
Ω |
0.25408280499218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360ii1 97020cb1 32340x1 |
Quadratic twists by: -4 -3 -7 |