Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82418p |
Isogeny class |
Conductor |
82418 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.2841453676037E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7026993,7189837801] |
[a1,a2,a3,a4,a6] |
Generators |
[650:53499:1] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
7.5830545166441 |
L(r)(E,1)/r! |
Ω |
0.18606249421418 |
Real period |
R |
1.1320949126832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004704 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11774k5 98a5 |
Quadratic twists by: -7 29 |