Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680g |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28385510400 = 210 · 38 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4683,-123082] |
[a1,a2,a3,a4,a6] |
Generators |
[106:756:1] |
Generators of the group modulo torsion |
j |
15214885924/38025 |
j-invariant |
L |
3.8467556127521 |
L(r)(E,1)/r! |
Ω |
0.57720986076584 |
Real period |
R |
3.3321984552103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360o2 37440ck2 1560k2 23400bk2 |
Quadratic twists by: -4 8 -3 5 |