Atkin-Lehner |
2- 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862bt |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3574701057869903808 = -1 · 26 · 36 · 7 · 112 · 676 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-598820,200365319] |
[a1,a2,a3,a4,a6] |
Generators |
[-1968551:-8062007:2197] |
Generators of the group modulo torsion |
j |
-32574997769987877625/4903567980617152 |
j-invariant |
L |
10.906955343867 |
L(r)(E,1)/r! |
Ω |
0.2412027734729 |
Real period |
R |
11.304757396739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942602 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10318e4 |
Quadratic twists by: -3 |