Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
65790bi |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1688000 |
Modular degree for the optimal curve |
Δ |
-6747687533700000 = -1 · 25 · 33 · 55 · 17 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5964578,5608326081] |
[a1,a2,a3,a4,a6] |
j |
-869158629901152164999907/249914353100000 |
j-invariant |
L |
3.3779121852544 |
L(r)(E,1)/r! |
Ω |
0.33779121866807 |
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 |
65790l1 |
Quadratic twists by: -3 |