Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330be |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
3491341090560000 = 211 · 33 · 54 · 192 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48473,2977081] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:2696:1] |
Generators of the group modulo torsion |
j |
466499567756378547/129308929280000 |
j-invariant |
L |
8.9620976251537 |
L(r)(E,1)/r! |
Ω |
0.41478056488371 |
Real period |
R |
0.24553228162028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39330b2 |
Quadratic twists by: -3 |