Atkin-Lehner |
2+ 3+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194f |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-322671919730265144 = -1 · 23 · 34 · 13 · 1710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-255684,56667240] |
[a1,a2,a3,a4,a6] |
Generators |
[635:11965:1] |
Generators of the group modulo torsion |
j |
-1848574772388967806793/322671919730265144 |
j-invariant |
L |
3.5526282552384 |
L(r)(E,1)/r! |
Ω |
0.293571487705 |
Real period |
R |
0.60507038388012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582z2 |
Quadratic twists by: -3 |