Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650cl |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
108377172281250000 = 24 · 36 · 59 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-144138,-13896108] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:2724:1] |
Generators of the group modulo torsion |
j |
169562314673549/55489112208 |
j-invariant |
L |
12.322168408062 |
L(r)(E,1)/r! |
Ω |
0.25142024428429 |
Real period |
R |
2.0420936473069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650p2 |
Quadratic twists by: 5 |