Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5226c |
Isogeny class |
Conductor |
5226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
327923749842 = 2 · 3 · 138 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2739,-48945] |
[a1,a2,a3,a4,a6] |
j |
2272530490320817/327923749842 |
j-invariant |
L |
1.3325723648417 |
L(r)(E,1)/r! |
Ω |
0.66628618242086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41808n4 15678c3 67938c4 |
Quadratic twists by: -4 -3 13 |