Atkin-Lehner |
2- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300l |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-1166000 = -1 · 24 · 53 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- -5 11+ -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,382] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] [1:17:1] |
Generators of the group modulo torsion |
j |
-44957696/583 |
j-invariant |
L |
6.8491345439175 |
L(r)(E,1)/r! |
Ω |
2.7511517621689 |
Real period |
R |
0.41492528317966 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58300k1 |
Quadratic twists by: 5 |