Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bh |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2125578240 = -1 · 214 · 33 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,2223] |
[a1,a2,a3,a4,a6] |
Generators |
[3:48:1] |
Generators of the group modulo torsion |
j |
21296/129735 |
j-invariant |
L |
6.4178663606948 |
L(r)(E,1)/r! |
Ω |
1.1545271174965 |
Real period |
R |
0.92647836264648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cc1 3720a1 89280be1 |
Quadratic twists by: -4 8 -3 |