Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025m |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
550618236675 = 33 · 52 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 1 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2060,-3948] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:105:1] |
Generators of the group modulo torsion |
j |
1755 |
j-invariant |
L |
3.1806355254874 |
L(r)(E,1)/r! |
Ω |
0.7664657152309 |
Real period |
R |
0.69162378744519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025j1 38025u1 38025h1 |
Quadratic twists by: -3 5 13 |