Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
114954ca |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
417318885648 = 24 · 34 · 77 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3382,67619] |
[a1,a2,a3,a4,a6] |
Generators |
[59:249:1] |
Generators of the group modulo torsion |
j |
36363385297/3547152 |
j-invariant |
L |
9.2607882239714 |
L(r)(E,1)/r! |
Ω |
0.9181705617081 |
Real period |
R |
2.5215326587399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422z1 |
Quadratic twists by: -7 |