Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8140b |
Isogeny class |
Conductor |
8140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
131940934400 = 28 · 52 · 11 · 374 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2340,-40700] |
[a1,a2,a3,a4,a6] |
j |
5537540324176/515394275 |
j-invariant |
L |
2.0714940130396 |
L(r)(E,1)/r! |
Ω |
0.69049800434652 |
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 |
32560o2 73260l2 40700c2 89540i2 |
Quadratic twists by: -4 -3 5 -11 |