Atkin-Lehner |
3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6975f |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-351856498798828125 = -1 · 319 · 510 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75820,-27403428] |
[a1,a2,a3,a4,a6] |
j |
6771000575/49424013 |
j-invariant |
L |
0.60292782039551 |
L(r)(E,1)/r! |
Ω |
0.15073195509888 |
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 |
111600ey1 2325a1 6975o1 |
Quadratic twists by: -4 -3 5 |