Atkin-Lehner |
2+ 3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670j |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-15898032000 = -1 · 27 · 36 · 53 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-465,-7075] |
[a1,a2,a3,a4,a6] |
j |
-15271450641/21808000 |
j-invariant |
L |
0.97748318194943 |
L(r)(E,1)/r! |
Ω |
0.48874077705958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630k1 |
Quadratic twists by: -3 |