Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152y |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-513829293493807872 = -1 · 28 · 39 · 710 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-956703,-361822610] |
[a1,a2,a3,a4,a6] |
Generators |
[2705:129780:1] |
Generators of the group modulo torsion |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
6.9427945283399 |
L(r)(E,1)/r! |
Ω |
0.076302273123406 |
Real period |
R |
4.5495332210556 |
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 |
9576k2 76608fv2 6384o2 |
Quadratic twists by: -4 8 -3 |