Atkin-Lehner |
2- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28028a |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42840 |
Modular degree for the optimal curve |
Δ |
-13189864688 = -1 · 24 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3 -2 7+ 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,-45619] |
[a1,a2,a3,a4,a6] |
Generators |
[1211868:3934063:19683] |
Generators of the group modulo torsion |
j |
-16595712/143 |
j-invariant |
L |
8.6871646988528 |
L(r)(E,1)/r! |
Ω |
0.34083815287147 |
Real period |
R |
8.4958844597901 |
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 |
112112y1 28028f1 |
Quadratic twists by: -4 -7 |