Atkin-Lehner |
2- 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ds |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1987200 |
Modular degree for the optimal curve |
Δ |
-873208456312500000 = -1 · 25 · 36 · 59 · 7 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229927,-14906919] |
[a1,a2,a3,a4,a6] |
Generators |
[83:2136:1] |
Generators of the group modulo torsion |
j |
1844029536932915639/1197816812500000 |
j-invariant |
L |
11.338379593368 |
L(r)(E,1)/r! |
Ω |
0.1604848659218 |
Real period |
R |
1.4130154325394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13090i1 |
Quadratic twists by: -3 |