Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23600s |
Isogeny class |
Conductor |
23600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-2.9200744448E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645208,-846226412] |
[a1,a2,a3,a4,a6] |
Generators |
[3780198:268115968:729] |
Generators of the group modulo torsion |
j |
-742614841825/7300186112 |
j-invariant |
L |
4.7198242413906 |
L(r)(E,1)/r! |
Ω |
0.073365998847301 |
Real period |
R |
8.0415729281047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950c1 94400bw1 23600bg1 |
Quadratic twists by: -4 8 5 |