Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680q |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
129331481760000 = 28 · 314 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315903,68338402] |
[a1,a2,a3,a4,a6] |
j |
18681746265374416/693005625 |
j-invariant |
L |
2.1934906892479 |
L(r)(E,1)/r! |
Ω |
0.54837267231197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360n2 37440cj2 1560h2 23400l2 |
Quadratic twists by: -4 8 -3 5 |