Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032d |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23751936 = 28 · 32 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2932,-60140] |
[a1,a2,a3,a4,a6] |
Generators |
[294:4940:1] |
Generators of the group modulo torsion |
j |
10892404441168/92781 |
j-invariant |
L |
4.9410842216352 |
L(r)(E,1)/r! |
Ω |
0.64877848962428 |
Real period |
R |
3.807990169724 |
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 |
38064o2 57096u2 |
Quadratic twists by: -4 -3 |