Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658u |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-185294304 = -1 · 25 · 36 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,645] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:29:1] |
Generators of the group modulo torsion |
j |
-30584281/1096416 |
j-invariant |
L |
7.3517122125167 |
L(r)(E,1)/r! |
Ω |
1.4969515957492 |
Real period |
R |
0.49111221988769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658a1 |
Quadratic twists by: 13 |