Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2340d |
Isogeny class |
Conductor |
2340 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40940640000 = 28 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 6 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1647,23814] |
[a1,a2,a3,a4,a6] |
j |
98055792/8125 |
j-invariant |
L |
2.2381405042794 |
L(r)(E,1)/r! |
Ω |
1.1190702521397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9360bf2 37440b2 2340b2 11700a2 |
Quadratic twists by: -4 8 -3 5 |