Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dy |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
15052800 |
Modular degree for the optimal curve |
Δ |
2.2660877374383E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44225960,-110852465173] |
[a1,a2,a3,a4,a6] |
Generators |
[-8538855:109979557:2197] |
Generators of the group modulo torsion |
j |
524913777953812394386465/12433951920100652928 |
j-invariant |
L |
11.541788154619 |
L(r)(E,1)/r! |
Ω |
0.058628252765171 |
Real period |
R |
7.030854585686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850ba1 116550cu1 |
Quadratic twists by: -3 5 |