Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
81498l |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-809272237721911296 = -1 · 236 · 3 · 174 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,181630,-31379500] |
[a1,a2,a3,a4,a6] |
Generators |
[10100:65625:64] [10335:-267325:27] |
Generators of the group modulo torsion |
j |
7934036838896807/9689446219776 |
j-invariant |
L |
6.2560169707505 |
L(r)(E,1)/r! |
Ω |
0.15153048652295 |
Real period |
R |
20.642766727131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498c2 |
Quadratic twists by: 17 |