Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600o |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
18792000 = 26 · 34 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178,952] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:30:1] [-2:36:1] |
Generators of the group modulo torsion |
j |
78402752/2349 |
j-invariant |
L |
8.5896773942678 |
L(r)(E,1)/r! |
Ω |
2.1649311486823 |
Real period |
R |
1.9838223029681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600cb1 69600ca1 |
Quadratic twists by: -4 5 |