Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bl |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
3.6149582732013E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94645339,-354292457242] |
[a1,a2,a3,a4,a6] |
j |
1617840527930521321/623760113664 |
j-invariant |
L |
1.3553230159633 |
L(r)(E,1)/r! |
Ω |
0.048404395017443 |
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 |
84966k1 4998b1 |
Quadratic twists by: -7 17 |