Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28028f |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6120 |
Modular degree for the optimal curve |
Δ |
-112112 = -1 · 24 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -3 2 7- 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,133] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
-16595712/143 |
j-invariant |
L |
3.235406997749 |
L(r)(E,1)/r! |
Ω |
3.3492741811992 |
Real period |
R |
0.96600242999234 |
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 |
112112bq1 28028a1 |
Quadratic twists by: -4 -7 |