Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bv |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1299385546875 = -1 · 39 · 58 · 132 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6825,-223844] |
[a1,a2,a3,a4,a6] |
j |
-18264064/675 |
j-invariant |
L |
2.0964891361304 |
L(r)(E,1)/r! |
Ω |
0.26206114202146 |
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 |
12675l1 7605l1 38025bo1 |
Quadratic twists by: -3 5 13 |