Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bz |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
23961600 |
Modular degree for the optimal curve |
Δ |
-2.3040124820772E+27 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9934163,2309434638545] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
3.8273596425579 |
L(r)(E,1)/r! |
Ω |
0.036801535024925 |
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 |
106722cw1 5082ba1 3234c1 |
Quadratic twists by: -3 -7 -11 |