Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520w |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
9216000 |
Modular degree for the optimal curve |
Δ |
-4.4641123324178E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6179180,-8267317060] |
[a1,a2,a3,a4,a6] |
Generators |
[1387589:-98789382:343] |
Generators of the group modulo torsion |
j |
101923942887135886749104/174379387985069284935 |
j-invariant |
L |
10.867969129146 |
L(r)(E,1)/r! |
Ω |
0.059801767616144 |
Real period |
R |
10.096291243785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760s1 |
Quadratic twists by: -4 |