Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120de |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-592440197120 = -1 · 220 · 5 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- -2 3 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,-37537] |
[a1,a2,a3,a4,a6] |
Generators |
[53:292:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
8.753558893704 |
L(r)(E,1)/r! |
Ω |
0.39947044445524 |
Real period |
R |
3.6521512272218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bf1 31280s1 |
Quadratic twists by: -4 8 |