Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fz |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8265395001600 = -1 · 28 · 36 · 52 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3993,-98494] |
[a1,a2,a3,a4,a6] |
Generators |
[3464538:32335435:74088] |
Generators of the group modulo torsion |
j |
21296/25 |
j-invariant |
L |
7.6081131983392 |
L(r)(E,1)/r! |
Ω |
0.39588134710509 |
Real period |
R |
9.6090826892431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780y2 9680t2 720i2 |
Quadratic twists by: -4 -3 -11 |