Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
2670d |
Isogeny class |
Conductor |
2670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1604002500 = 22 · 34 · 54 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13350,-599265] |
[a1,a2,a3,a4,a6] |
j |
263129501187842401/1604002500 |
j-invariant |
L |
3.5531964100904 |
L(r)(E,1)/r! |
Ω |
0.4441495512613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21360p2 85440r2 8010b2 13350h2 |
Quadratic twists by: -4 8 -3 5 |