Atkin-Lehner |
2+ 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850a |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-2.5675587840816E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 1 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17854500,-29055870000] |
[a1,a2,a3,a4,a6] |
Generators |
[25353079277214155055:1635070011742784284485:3500798916116321] |
Generators of the group modulo torsion |
j |
-40285318546938465414721/16432376218122240 |
j-invariant |
L |
4.3745560554894 |
L(r)(E,1)/r! |
Ω |
0.036721634742101 |
Real period |
R |
29.781871682812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370u1 |
Quadratic twists by: 5 |