Atkin-Lehner |
2- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111910j |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6.0566968274535E+23 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20509681,51761494119] |
[a1,a2,a3,a4,a6] |
Generators |
[321:212468:1] |
Generators of the group modulo torsion |
j |
-20280507772405698649/12874021484375000 |
j-invariant |
L |
5.1731755901877 |
L(r)(E,1)/r! |
Ω |
0.084650547001262 |
Real period |
R |
1.2731694561564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5890b2 |
Quadratic twists by: -19 |