Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600b |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-18994774453750000 = -1 · 24 · 57 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 -2 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83008,11317113] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1675:1] |
Generators of the group modulo torsion |
j |
-253016466094336/75979097815 |
j-invariant |
L |
5.2850755143069 |
L(r)(E,1)/r! |
Ω |
0.36592693340201 |
Real period |
R |
3.6107450917614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200g1 12920o1 |
Quadratic twists by: -4 5 |