Atkin-Lehner |
3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20805a |
Isogeny class |
Conductor |
20805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
916480 |
Modular degree for the optimal curve |
Δ |
1.1078224985479E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14893441,22116045134] |
[a1,a2,a3,a4,a6] |
Generators |
[-4324:77613:1] |
Generators of the group modulo torsion |
j |
365349789848870933571281809/11078224985478515625 |
j-invariant |
L |
1.8623271781604 |
L(r)(E,1)/r! |
Ω |
0.2117400180775 |
Real period |
R |
4.3976740794429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62415e1 104025k1 |
Quadratic twists by: -3 5 |