Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446l |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7996800 |
Modular degree for the optimal curve |
Δ |
-6.189097449666E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143285384,660104039232] |
[a1,a2,a3,a4,a6] |
Generators |
[309553529468:8303742103275:36594368] |
Generators of the group modulo torsion |
j |
-8062078684788168474799/15337160441856 |
j-invariant |
L |
4.6968858495597 |
L(r)(E,1)/r! |
Ω |
0.13945572007362 |
Real period |
R |
16.840061659286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446bi1 |
Quadratic twists by: -7 |