Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bw |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6488064 |
Modular degree for the optimal curve |
Δ |
-894475881201276 = -1 · 22 · 39 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21642809,38759590037] |
[a1,a2,a3,a4,a6] |
Generators |
[2691:-914:1] |
Generators of the group modulo torsion |
j |
-7174564826165737/5724 |
j-invariant |
L |
5.1838873102661 |
L(r)(E,1)/r! |
Ω |
0.31033016623699 |
Real period |
R |
2.0880532730159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999914451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478e1 115434y1 |
Quadratic twists by: -3 -11 |