Atkin-Lehner |
3- 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28413c |
Isogeny class |
Conductor |
28413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2301453 = -1 · 36 · 7 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11+ 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,74] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-11:1] [-2:9:1] |
Generators of the group modulo torsion |
j |
-15625/3157 |
j-invariant |
L |
5.4407784101319 |
L(r)(E,1)/r! |
Ω |
2.1142290170742 |
Real period |
R |
1.2867050745669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3157a1 |
Quadratic twists by: -3 |