Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998g |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1529385068178 = -1 · 2 · 34 · 116 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-366,59530] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:198:1] |
Generators of the group modulo torsion |
j |
-3048625/863298 |
j-invariant |
L |
5.5325096182667 |
L(r)(E,1)/r! |
Ω |
0.68977646775269 |
Real period |
R |
1.0025910343683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438b2 |
Quadratic twists by: -11 |