Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988bl |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1119762475776 = -1 · 28 · 37 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-67228] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2646:1] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
5.7881237514573 |
L(r)(E,1)/r! |
Ω |
0.33165486456394 |
Real period |
R |
1.4543542021884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952gf1 9996c1 612c1 |
Quadratic twists by: -4 -3 -7 |