Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4350f |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
522000 = 24 · 32 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] [-4:8:1] |
Generators of the group modulo torsion |
j |
7645373/4176 |
j-invariant |
L |
2.8569300457567 |
L(r)(E,1)/r! |
Ω |
2.5524023953584 |
Real period |
R |
0.5596551019838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800dp1 13050bu1 4350z1 126150dk1 |
Quadratic twists by: -4 -3 5 29 |