Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960d |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-83148800 = -1 · 214 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -6 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,5219] |
[a1,a2,a3,a4,a6] |
Generators |
[14:5:1] |
Generators of the group modulo torsion |
j |
-1326109696/5075 |
j-invariant |
L |
4.7358218862548 |
L(r)(E,1)/r! |
Ω |
1.9301844064983 |
Real period |
R |
1.2267796461215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64960bi1 8120d1 |
Quadratic twists by: -4 8 |