Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040z |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
42336000 = 28 · 33 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2007,-34606] |
[a1,a2,a3,a4,a6] |
Generators |
[58:210:1] |
Generators of the group modulo torsion |
j |
129348709488/6125 |
j-invariant |
L |
3.9244722463434 |
L(r)(E,1)/r! |
Ω |
0.7132864031933 |
Real period |
R |
1.833986193472 |
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 |
1260d2 20160cs2 5040v4 25200cz2 |
Quadratic twists by: -4 8 -3 5 |