Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080bq |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5444996681250000 = 24 · 36 · 58 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60042,-4411699] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1015:1] |
Generators of the group modulo torsion |
j |
2052303811262464/466820703125 |
j-invariant |
L |
5.4057507403122 |
L(r)(E,1)/r! |
Ω |
0.30996858604784 |
Real period |
R |
0.36332651812894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120a1 |
Quadratic twists by: -3 |