Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304gy |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-17529493782528 = -1 · 222 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,-244609] |
[a1,a2,a3,a4,a6] |
Generators |
[95:384:1] [101:540:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
13.581062706072 |
L(r)(E,1)/r! |
Ω |
0.27101264137866 |
Real period |
R |
1.5660089045258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304n1 30576by1 122304en1 |
Quadratic twists by: -4 8 -7 |