Atkin-Lehner |
5+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120575a |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-120575 = -1 · 52 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:503:343] |
Generators of the group modulo torsion |
j |
-625/4823 |
j-invariant |
L |
8.275791245977 |
L(r)(E,1)/r! |
Ω |
1.5065650098257 |
Real period |
R |
5.4931524532061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120575l1 |
Quadratic twists by: 5 |