Atkin-Lehner |
2+ 3+ 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926d |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
58767072 = 25 · 3 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6660,206448] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-20:1] |
Generators of the group modulo torsion |
j |
32677459518327625/58767072 |
j-invariant |
L |
2.7402644949761 |
L(r)(E,1)/r! |
Ω |
1.6936506457399 |
Real period |
R |
1.6179632451762 |
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 |
50778bg2 118482bb2 |
Quadratic twists by: -3 -7 |