Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950dn |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
41535156250 = 2 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -5 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-930,-4553] |
[a1,a2,a3,a4,a6] |
Generators |
[-5646:10715:216] |
Generators of the group modulo torsion |
j |
132651/62 |
j-invariant |
L |
17.21933028702 |
L(r)(E,1)/r! |
Ω |
0.90460527078576 |
Real period |
R |
4.7587966938337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950bv1 75950dh1 |
Quadratic twists by: 5 -7 |