Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bo |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3052800 |
Modular degree for the optimal curve |
Δ |
-2.2085582547042E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2705557,1728665401] |
[a1,a2,a3,a4,a6] |
Generators |
[497:22506:1] |
Generators of the group modulo torsion |
j |
-8555668939436267143168/86271806824383411 |
j-invariant |
L |
4.3947724127915 |
L(r)(E,1)/r! |
Ω |
0.21554964488003 |
Real period |
R |
0.33981130893205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644l1 |
Quadratic twists by: -4 |