Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bv |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19283337728000000 = -1 · 215 · 56 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34075,7106250] |
[a1,a2,a3,a4,a6] |
Generators |
[111:2166:1] |
Generators of the group modulo torsion |
j |
-68367756969/301302152 |
j-invariant |
L |
2.7333537125389 |
L(r)(E,1)/r! |
Ω |
0.33580466216501 |
Real period |
R |
2.0349283809014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998632618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150u2 5168d2 |
Quadratic twists by: -4 5 |