Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200b |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-1011200 = -1 · 29 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
-5000/79 |
j-invariant |
L |
5.9087828639974 |
L(r)(E,1)/r! |
Ω |
2.3439427679878 |
Real period |
R |
1.2604366763044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200e1 126400bi1 63200r1 |
Quadratic twists by: -4 8 5 |