Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932y |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-10067210157312 = -1 · 28 · 312 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1185,151846] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-486:1] [75:814:1] |
Generators of the group modulo torsion |
j |
986078000/53943813 |
j-invariant |
L |
10.87494923366 |
L(r)(E,1)/r! |
Ω |
0.55096540063016 |
Real period |
R |
3.2896648988996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644k2 |
Quadratic twists by: -3 |