Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550z |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
51609600 |
Modular degree for the optimal curve |
Δ |
-3.128916494874E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-325808151,-27007616943302] |
[a1,a2,a3,a4,a6] |
j |
-244787659433411960540612449/20025065567193750000000000 |
j-invariant |
L |
1.728913055981 |
L(r)(E,1)/r! |
Ω |
0.013507133249789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650eg1 6510m1 |
Quadratic twists by: -3 5 |