Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574cu |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
968 |
Product of Tamagawa factors cp |
deg |
98131968 |
Modular degree for the optimal curve |
Δ |
1.0099786494412E+28 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11838567826,495764408564228] |
[a1,a2,a3,a4,a6] |
j |
661452718394879874611/36407410163712 |
j-invariant |
L |
9.3179763481375 |
L(r)(E,1)/r! |
Ω |
0.038504034496449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722cj1 5082p1 35574z1 |
Quadratic twists by: -3 -7 -11 |