Atkin-Lehner |
2+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4522d |
Isogeny class |
Conductor |
4522 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
968 |
Modular degree for the optimal curve |
Δ |
-4630528 = -1 · 211 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98,-364] |
[a1,a2,a3,a4,a6] |
j |
-104686895097/4630528 |
j-invariant |
L |
0.75636930957402 |
L(r)(E,1)/r! |
Ω |
0.75636930957402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36176r1 40698bq1 113050bs1 31654d1 |
Quadratic twists by: -4 -3 5 -7 |