Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200cn |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-13671875000000 = -1 · 26 · 515 · 7 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13133,610387] |
[a1,a2,a3,a4,a6] |
Generators |
[62:175:1] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
3.6494744767281 |
L(r)(E,1)/r! |
Ω |
0.69729622539986 |
Real period |
R |
2.6168752560186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200c3 2800s3 100800nn3 2240w3 |
Quadratic twists by: -4 8 -3 5 |