Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850dc |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-83916000 = -1 · 25 · 34 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-223,1337] |
[a1,a2,a3,a4,a6] |
Generators |
[2:29:1] |
Generators of the group modulo torsion |
j |
-9814089221/671328 |
j-invariant |
L |
11.083308392061 |
L(r)(E,1)/r! |
Ω |
1.8877743241002 |
Real period |
R |
0.14677745441505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550cl1 38850v1 |
Quadratic twists by: -3 5 |