Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8600d |
Isogeny class |
Conductor |
8600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
75600 |
Modular degree for the optimal curve |
Δ |
-14700844300000000 = -1 · 28 · 58 · 435 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 -6 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123833,-17716963] |
[a1,a2,a3,a4,a6] |
Generators |
[2173:99846:1] |
Generators of the group modulo torsion |
j |
-2100082723840/147008443 |
j-invariant |
L |
6.068616820554 |
L(r)(E,1)/r! |
Ω |
0.12673948331569 |
Real period |
R |
2.3941303301032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17200f1 68800by1 77400bw1 8600f1 |
Quadratic twists by: -4 8 -3 5 |