Atkin-Lehner |
2- 3+ 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29946p |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-83086138146816 = -1 · 222 · 34 · 73 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1049,438311] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:400:1] [-45:652:1] |
Generators of the group modulo torsion |
j |
-127666235336977/83086138146816 |
j-invariant |
L |
9.263767621984 |
L(r)(E,1)/r! |
Ω |
0.49158597750266 |
Real period |
R |
0.57105011903579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89838j1 |
Quadratic twists by: -3 |