Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912y |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8322048 |
Modular degree for the optimal curve |
Δ |
-5.6121566096939E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 3 1 7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3007416,-11218680972] |
[a1,a2,a3,a4,a6] |
j |
734419395093928663223/13701554222885538624 |
j-invariant |
L |
7.8250486479484 |
L(r)(E,1)/r! |
Ω |
0.05434061552105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614a1 |
Quadratic twists by: -4 |