Atkin-Lehner |
3- 11- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
75933i |
Isogeny class |
Conductor |
75933 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
1039446837 = 36 · 11 · 133 · 59 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1290,-17766] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:9:8] |
Generators of the group modulo torsion |
j |
325660672000/1425853 |
j-invariant |
L |
5.060488356795 |
L(r)(E,1)/r! |
Ω |
0.79683157311447 |
Real period |
R |
2.116920952221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437b1 |
Quadratic twists by: -3 |