Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418k |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7.640335749587E+21 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203662605,-1118644827499] |
[a1,a2,a3,a4,a6] |
Generators |
[317267221563:-93275720077024:3581577] |
Generators of the group modulo torsion |
j |
13350003080765625/109178272 |
j-invariant |
L |
9.9732128319913 |
L(r)(E,1)/r! |
Ω |
0.039964275514387 |
Real period |
R |
12.477659986525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774f2 2842a2 |
Quadratic twists by: -7 29 |