Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ci |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-155105361920000 = -1 · 227 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 5 2 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8767,-512063] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2560:1] |
Generators of the group modulo torsion |
j |
454786175/946688 |
j-invariant |
L |
5.49595640774 |
L(r)(E,1)/r! |
Ω |
0.30018791363466 |
Real period |
R |
0.76284944619769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dz1 2150q1 68800g1 |
Quadratic twists by: -4 8 5 |