Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6825h |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2888726572265625 = 36 · 510 · 74 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-74376,7360273] |
[a1,a2,a3,a4,a6] |
j |
2912015927948401/184878500625 |
j-invariant |
L |
2.665050408329 |
L(r)(E,1)/r! |
Ω |
0.44417506805484 |
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 |
109200dt2 20475s2 1365b2 47775p2 |
Quadratic twists by: -4 -3 5 -7 |