Atkin-Lehner |
2- 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
28638i |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-968439103488 = -1 · 219 · 33 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 -3 -5 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8105,286825] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:700:1] [-65:764:1] |
Generators of the group modulo torsion |
j |
-2180563659421875/35868114944 |
j-invariant |
L |
10.381260722702 |
L(r)(E,1)/r! |
Ω |
0.88223204422619 |
Real period |
R |
0.15482948813634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28638a1 |
Quadratic twists by: -3 |