Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10140l |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10571870144160000 = -1 · 28 · 34 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54700,492948] |
[a1,a2,a3,a4,a6] |
j |
14647977776/8555625 |
j-invariant |
L |
3.9262283493987 |
L(r)(E,1)/r! |
Ω |
0.24538927183742 |
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 |
40560bt2 30420i2 50700e2 780c2 |
Quadratic twists by: -4 -3 5 13 |