Atkin-Lehner |
3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415b |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-3673933992072421875 = -1 · 34 · 57 · 77 · 893 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 3 0 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-168193,95895388] |
[a1,a2,a3,a4,a6] |
j |
-4472632936243081/31227923671875 |
j-invariant |
L |
0.8571174705027 |
L(r)(E,1)/r! |
Ω |
0.21427936706142 |
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 |
9345e1 |
Quadratic twists by: -7 |