Atkin-Lehner |
7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75383g |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-133545582863 = -1 · 7 · 118 · 89 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1127,9576] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1385:8] [6856:80599:512] |
Generators of the group modulo torsion |
j |
89314623/75383 |
j-invariant |
L |
11.093012551402 |
L(r)(E,1)/r! |
Ω |
0.67311336410968 |
Real period |
R |
16.480154967696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6853g1 |
Quadratic twists by: -11 |