Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470m |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5367785544000000000 = -1 · 212 · 33 · 59 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,436506,-10151624] |
[a1,a2,a3,a4,a6] |
Generators |
[245:10437:1] |
Generators of the group modulo torsion |
j |
9198050621709157256231/5367785544000000000 |
j-invariant |
L |
4.5475093343483 |
L(r)(E,1)/r! |
Ω |
0.14243912745559 |
Real period |
R |
2.660498684351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410bi2 97350bt2 |
Quadratic twists by: -3 5 |