Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420d |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
2497001199840000 = 28 · 33 · 54 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87183,9612118] |
[a1,a2,a3,a4,a6] |
j |
10602674044119792/361255960625 |
j-invariant |
L |
2.7281298925681 |
L(r)(E,1)/r! |
Ω |
0.45468831542802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85680cr2 21420h4 107100b2 |
Quadratic twists by: -4 -3 5 |