Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152k |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
713057458176 = 211 · 39 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56619,-5185350] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:10:1] |
Generators of the group modulo torsion |
j |
497953800342/17689 |
j-invariant |
L |
6.0062158937791 |
L(r)(E,1)/r! |
Ω |
0.30949948571162 |
Real period |
R |
2.4257778167099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9576n2 76608dn2 19152l2 |
Quadratic twists by: -4 8 -3 |