Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cy |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
62633326567680 = 28 · 34 · 5 · 117 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-348785,-79312023] |
[a1,a2,a3,a4,a6] |
Generators |
[682:43:1] |
Generators of the group modulo torsion |
j |
2648750651939881/35354880 |
j-invariant |
L |
14.837115803874 |
L(r)(E,1)/r! |
Ω |
0.19645380562365 |
Real period |
R |
4.7202940906787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230q1 |
Quadratic twists by: -11 |