Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040w |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1234517760 = 28 · 39 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-8262] |
[a1,a2,a3,a4,a6] |
Generators |
[738:20034:1] |
Generators of the group modulo torsion |
j |
10536048/245 |
j-invariant |
L |
3.6194186364243 |
L(r)(E,1)/r! |
Ω |
0.90380381018344 |
Real period |
R |
4.0046507833262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1260a2 20160dk2 5040ba2 25200cr2 |
Quadratic twists by: -4 8 -3 5 |