Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025c |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3309003826171875 = -1 · 33 · 59 · 137 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-177450,28904281] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:6337:1] |
Generators of the group modulo torsion |
j |
-303464448/1625 |
j-invariant |
L |
4.9875429255191 |
L(r)(E,1)/r! |
Ω |
0.44934854161934 |
Real period |
R |
0.69371858139675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025d2 7605a1 2925b1 |
Quadratic twists by: -3 5 13 |