Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338f |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
9099378 = 2 · 36 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 2 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-222,1322] |
[a1,a2,a3,a4,a6] |
Generators |
[13:16:1] |
Generators of the group modulo torsion |
j |
266625/2 |
j-invariant |
L |
5.7601197754524 |
L(r)(E,1)/r! |
Ω |
2.3223536949419 |
Real period |
R |
1.24014695637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482f1 112338d1 |
Quadratic twists by: -3 -79 |