Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394l |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11065297558392 = 23 · 38 · 7 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-614561,-185692899] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:16002:1] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
3.3442900580755 |
L(r)(E,1)/r! |
Ω |
0.17051328635558 |
Real period |
R |
4.9032690320489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999903294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714f4 |
Quadratic twists by: -11 |