Atkin-Lehner |
2+ 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874m |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4787994624 = -1 · 216 · 3 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,156,-3230] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2591:1] |
Generators of the group modulo torsion |
j |
1235376017/13959168 |
j-invariant |
L |
4.2176558171773 |
L(r)(E,1)/r! |
Ω |
0.67437035961392 |
Real period |
R |
1.5635532304504 |
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 |
62622ck1 20874e1 |
Quadratic twists by: -3 -7 |