Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952cq |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3905002273650395904 = 28 · 33 · 716 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-836871,278910450] |
[a1,a2,a3,a4,a6] |
Generators |
[40326:2454985:216] |
Generators of the group modulo torsion |
j |
79708988544624/4802079233 |
j-invariant |
L |
4.9797181753066 |
L(r)(E,1)/r! |
Ω |
0.24385672633403 |
Real period |
R |
10.210335882226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29988h2 119952dd2 17136v2 |
Quadratic twists by: -4 -3 -7 |