Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4680s |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12130560000 = 211 · 36 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5067,138726] |
[a1,a2,a3,a4,a6] |
j |
9636491538/8125 |
j-invariant |
L |
2.5191948408742 |
L(r)(E,1)/r! |
Ω |
1.2595974204371 |
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 |
9360r3 37440bm4 520a3 23400o4 |
Quadratic twists by: -4 8 -3 5 |