Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835x |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3210240 |
Modular degree for the optimal curve |
Δ |
-5.1558915206366E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3153918,4072190314] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:70933:1] |
Generators of the group modulo torsion |
j |
-4759347077042014683136/7072553526250471875 |
j-invariant |
L |
4.8625408355792 |
L(r)(E,1)/r! |
Ω |
0.12243757026648 |
Real period |
R |
4.9643063246579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945n1 |
Quadratic twists by: -3 |