Atkin-Lehner |
2- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810bl |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
-7.8740333475531E+21 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1844115,4375991185] |
[a1,a2,a3,a4,a6] |
Generators |
[-1325:-66386:1] [299:61910:1] |
Generators of the group modulo torsion |
j |
-99425173385521/1128771092480 |
j-invariant |
L |
12.682099418409 |
L(r)(E,1)/r! |
Ω |
0.11183823485051 |
Real period |
R |
0.67498103055276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810z1 |
Quadratic twists by: 17 |