Atkin-Lehner |
2+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122786a |
Isogeny class |
Conductor |
122786 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2943360 |
Modular degree for the optimal curve |
Δ |
-4947749177945977664 = -1 · 26 · 299 · 732 |
Discriminant |
Eigenvalues |
2+ -1 3 2 3 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1134526,476805812] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:31000:1] |
Generators of the group modulo torsion |
j |
-271506156685777/8318014784 |
j-invariant |
L |
6.8490434447342 |
L(r)(E,1)/r! |
Ω |
0.24205847855231 |
Real period |
R |
1.7684371811209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4234b1 |
Quadratic twists by: 29 |