Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380f |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
316281600 = 28 · 32 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2516,49416] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-170:1] |
Generators of the group modulo torsion |
j |
6883166242384/1235475 |
j-invariant |
L |
2.9883287426627 |
L(r)(E,1)/r! |
Ω |
1.6664322830921 |
Real period |
R |
0.29887490508743 |
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 |
77520co2 58140g2 96900u2 |
Quadratic twists by: -4 -3 5 |