Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311a |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2579518570364E+25 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-179948601,956757021990] |
[a1,a2,a3,a4,a6] |
Generators |
[-22455192134063543467485860:-30622886352362010315184913239:29284586120932035704000] |
Generators of the group modulo torsion |
j |
-26697808367593063582393/935451228347149269 |
j-invariant |
L |
5.529217363915 |
L(r)(E,1)/r! |
Ω |
0.06733257707951 |
Real period |
R |
41.059006188809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999382965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783e4 |
Quadratic twists by: 17 |