Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025bo |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-6271885852126171875 = -1 · 39 · 58 · 138 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1153425,-491784719] |
[a1,a2,a3,a4,a6] |
j |
-18264064/675 |
j-invariant |
L |
1.7443844029322 |
L(r)(E,1)/r! |
Ω |
0.072682683451156 |
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 |
12675n1 7605t1 38025bv1 |
Quadratic twists by: -3 5 13 |