Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10140i |
Isogeny class |
Conductor |
10140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3181349811900000000 = 28 · 3 · 58 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-492860,-101680008] |
[a1,a2,a3,a4,a6] |
j |
4877139472/1171875 |
j-invariant |
L |
2.1999661629389 |
L(r)(E,1)/r! |
Ω |
0.18333051357824 |
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 |
40560cy2 30420o2 50700bf2 10140e2 |
Quadratic twists by: -4 -3 5 13 |