Atkin-Lehner |
3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55233a |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
402192 |
Modular degree for the optimal curve |
Δ |
-5682887012712051 = -1 · 39 · 17 · 198 |
Discriminant |
Eigenvalues |
0 3+ 1 -2 4 3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-740772,245427023] |
[a1,a2,a3,a4,a6] |
Generators |
[6498:107213:8] |
Generators of the group modulo torsion |
j |
-134479872/17 |
j-invariant |
L |
5.2998283715627 |
L(r)(E,1)/r! |
Ω |
0.41138629690608 |
Real period |
R |
2.1471418354122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55233d1 55233b1 |
Quadratic twists by: -3 -19 |