Atkin-Lehner |
2- 3+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
47472a |
Isogeny class |
Conductor |
47472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
-148545803390976 = -1 · 212 · 313 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -1 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8320,-652352] |
[a1,a2,a3,a4,a6] |
Generators |
[1154:39054:1] |
Generators of the group modulo torsion |
j |
-15551989015681/36266065281 |
j-invariant |
L |
4.5219448237985 |
L(r)(E,1)/r! |
Ω |
0.23345799005091 |
Real period |
R |
4.8423538886129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2967d1 |
Quadratic twists by: -4 |