Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078g |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
126928251621567396 = 22 · 38 · 72 · 112 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-135879,8766945] |
[a1,a2,a3,a4,a6] |
j |
57481172513857/26296514244 |
j-invariant |
L |
1.1820620764116 |
L(r)(E,1)/r! |
Ω |
0.29551552069687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006w2 |
Quadratic twists by: 13 |