Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7150f |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-10537078744156250 = -1 · 2 · 56 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-698251,-224689352] |
[a1,a2,a3,a4,a6] |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
0.82577066422786 |
L(r)(E,1)/r! |
Ω |
0.082577066422786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200bb2 64350dp2 286d2 78650cg2 |
Quadratic twists by: -4 -3 5 -11 |