Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975s |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
1.5420935203345E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 5 -6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14282625,-8641328594] |
[a1,a2,a3,a4,a6] |
j |
1131514829301821440/541530783546813 |
j-invariant |
L |
1.1399962568459 |
L(r)(E,1)/r! |
Ω |
0.081428304060421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600gg1 2325e1 6975l1 |
Quadratic twists by: -4 -3 5 |