Atkin-Lehner |
5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28325a |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-311575 = -1 · 52 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 -2 5+ 1 11+ -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2,27] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-6:1] |
Generators of the group modulo torsion |
j |
34295/12463 |
j-invariant |
L |
1.8801063466256 |
L(r)(E,1)/r! |
Ω |
2.3758574009667 |
Real period |
R |
0.39566902160473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28325f1 |
Quadratic twists by: 5 |