Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bp |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
-1.7204043268424E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3849401,-199582726777] |
[a1,a2,a3,a4,a6] |
j |
-1306902141891515161/3564268498800000000 |
j-invariant |
L |
1.2561199357083 |
L(r)(E,1)/r! |
Ω |
0.03140301944674 |
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 |
690c1 |
Quadratic twists by: 13 |