Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376x |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-135606611685376 = -1 · 212 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 2 -3 -1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25237,1650141] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:9633:8] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
6.6346900688323 |
L(r)(E,1)/r! |
Ω |
0.5723247398813 |
Real period |
R |
1.9320878534295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3211a2 304e2 |
Quadratic twists by: -4 13 |