Atkin-Lehner |
2- 3- 41- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98892d |
Isogeny class |
Conductor |
98892 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-59394391409449728 = -1 · 28 · 36 · 416 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87600,15397252] |
[a1,a2,a3,a4,a6] |
Generators |
[-2798:14427:8] |
Generators of the group modulo torsion |
j |
-398353408000000/318256984147 |
j-invariant |
L |
8.4965392376684 |
L(r)(E,1)/r! |
Ω |
0.32236297110779 |
Real period |
R |
6.5892642583035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026816 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10988a2 |
Quadratic twists by: -3 |