Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200h |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24502500000000 = 28 · 34 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82508,-9091488] |
[a1,a2,a3,a4,a6] |
j |
15529488955216/6125625 |
j-invariant |
L |
2.2535923986041 |
L(r)(E,1)/r! |
Ω |
0.28169904982551 |
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 |
6600i2 52800fx2 39600f2 2640m2 |
Quadratic twists by: -4 8 -3 5 |