Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975k |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-8827734375 = -1 · 36 · 58 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,4772] |
[a1,a2,a3,a4,a6] |
Generators |
[4:60:1] |
Generators of the group modulo torsion |
j |
-117649/775 |
j-invariant |
L |
1.8673126767329 |
L(r)(E,1)/r! |
Ω |
1.1216814325742 |
Real period |
R |
0.83237210784867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600ei1 775b1 1395e1 |
Quadratic twists by: -4 -3 5 |