Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bb |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-39713088 = -1 · 26 · 3 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 1 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103,-547] |
[a1,a2,a3,a4,a6] |
Generators |
[13:16:1] |
Generators of the group modulo torsion |
j |
-9938375/3264 |
j-invariant |
L |
7.3349459341604 |
L(r)(E,1)/r! |
Ω |
0.73697156250738 |
Real period |
R |
0.82940173760698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958be1 |
Quadratic twists by: -23 |