Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478c |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19720182796597008 = 24 · 39 · 113 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-283272,57706352] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
0.77434578430967 |
L(r)(E,1)/r! |
Ω |
0.38717288629112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71478bn1 198c3 |
Quadratic twists by: -3 -19 |