Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650bz |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
54702992460937500 = 22 · 36 · 510 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-366888,84761892] |
[a1,a2,a3,a4,a6] |
Generators |
[288:1590:1] |
Generators of the group modulo torsion |
j |
559273529530825/5601586428 |
j-invariant |
L |
13.100810955856 |
L(r)(E,1)/r! |
Ω |
0.35537916300833 |
Real period |
R |
1.5360133062905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650s1 |
Quadratic twists by: 5 |