Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
360785246976000000 = 214 · 32 · 56 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198385,17998225] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-4312:1] [-80:5775:1] |
Generators of the group modulo torsion |
j |
52702650535889104/22020583921875 |
j-invariant |
L |
10.03285686813 |
L(r)(E,1)/r! |
Ω |
0.27348006532671 |
Real period |
R |
0.16984203719309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hh4 4620j4 |
Quadratic twists by: -4 8 |