Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640r |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-45087840000 = -1 · 28 · 34 · 54 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,860,3488] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:42:1] |
Generators of the group modulo torsion |
j |
274456808624/176124375 |
j-invariant |
L |
8.9887052509721 |
L(r)(E,1)/r! |
Ω |
0.70863052292684 |
Real period |
R |
1.5855768556517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119280e1 |
Quadratic twists by: -4 |