Atkin-Lehner |
2- 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28196c |
Isogeny class |
Conductor |
28196 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2217671792 = -1 · 24 · 72 · 19 · 533 |
Discriminant |
Eigenvalues |
2- 1 0 7- -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,322,-343] |
[a1,a2,a3,a4,a6] |
Generators |
[29:185:1] |
Generators of the group modulo torsion |
j |
230049824000/138604487 |
j-invariant |
L |
6.2765020210658 |
L(r)(E,1)/r! |
Ω |
0.85006599450893 |
Real period |
R |
3.691773380896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112784o1 |
Quadratic twists by: -4 |