Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936d |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-25526348169984 = -1 · 28 · 35 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 -1 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5009,280437] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:578:1] |
Generators of the group modulo torsion |
j |
-2249728/4131 |
j-invariant |
L |
4.6018028466345 |
L(r)(E,1)/r! |
Ω |
0.59854157443496 |
Real period |
R |
0.96104494724923 |
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 |
13872n1 55488br1 20808bg1 408d1 |
Quadratic twists by: -4 8 -3 17 |