Atkin-Lehner |
7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4823a |
Isogeny class |
Conductor |
4823 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74172917 = 72 · 134 · 53 |
Discriminant |
Eigenvalues |
-1 -2 0 7+ -4 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-258,1519] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:53:1] |
Generators of the group modulo torsion |
j |
1899713166625/74172917 |
j-invariant |
L |
1.3153944764239 |
L(r)(E,1)/r! |
Ω |
1.9234176521977 |
Real period |
R |
0.34194197888351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77168r2 43407g2 120575d2 33761b2 |
Quadratic twists by: -4 -3 5 -7 |