Atkin-Lehner |
5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28325b |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
-1823421875 = -1 · 56 · 11 · 1032 |
Discriminant |
Eigenvalues |
2 -1 5+ -2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4108,-100007] |
[a1,a2,a3,a4,a6] |
Generators |
[221272688:2486848785:1404928] |
Generators of the group modulo torsion |
j |
-490795651072/116699 |
j-invariant |
L |
7.3873950427866 |
L(r)(E,1)/r! |
Ω |
0.29815832898836 |
Real period |
R |
12.38837611522 |
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 |
1133a1 |
Quadratic twists by: 5 |