Atkin-Lehner |
2- 3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986bm |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-9.4350357500562E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-642113546,6263096219273] |
[a1,a2,a3,a4,a6] |
Generators |
[3787:1969327:1] |
Generators of the group modulo torsion |
j |
-40163511738502157405421235033/1294243587113337014336 |
j-invariant |
L |
14.216150388772 |
L(r)(E,1)/r! |
Ω |
0.082341592794815 |
Real period |
R |
4.7957909595272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8554i2 |
Quadratic twists by: -3 |