Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080be |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-23998464000 = -1 · 215 · 33 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6200,-186000] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1090:1] |
Generators of the group modulo torsion |
j |
-6435893935801/5859000 |
j-invariant |
L |
5.4865948946136 |
L(r)(E,1)/r! |
Ω |
0.26899368919196 |
Real period |
R |
3.3994570102617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6510j1 |
Quadratic twists by: -4 |