Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120a |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
608934016000 = 210 · 53 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2128,-4248] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:168:1] |
Generators of the group modulo torsion |
j |
1040731324416/594662125 |
j-invariant |
L |
2.489738927166 |
L(r)(E,1)/r! |
Ω |
0.76128968999447 |
Real period |
R |
3.2704224044732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000275987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125120bo1 7820b1 |
Quadratic twists by: -4 8 |