Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418r |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
13780800 |
Modular degree for the optimal curve |
Δ |
-1.0136736827502E+23 |
Discriminant |
Eigenvalues |
2- 3 0 7- 1 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10830240,-6818177789] |
[a1,a2,a3,a4,a6] |
Generators |
[1015163721:27268765165:1601613] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
18.3558535139 |
L(r)(E,1)/r! |
Ω |
0.05974094952438 |
Real period |
R |
13.966249019256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682h1 82418j1 |
Quadratic twists by: -7 29 |