Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13640h |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2182400 = 28 · 52 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1820,30500] |
[a1,a2,a3,a4,a6] |
j |
2605772594896/8525 |
j-invariant |
L |
4.5456072672805 |
L(r)(E,1)/r! |
Ω |
2.2728036336402 |
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 |
27280i2 109120i2 122760p2 68200d2 |
Quadratic twists by: -4 8 -3 5 |