Atkin-Lehner |
2+ 3+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33630c |
Isogeny class |
Conductor |
33630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
82448216010000 = 24 · 38 · 54 · 192 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47377,-3964859] |
[a1,a2,a3,a4,a6] |
Generators |
[-1034:1657:8] |
Generators of the group modulo torsion |
j |
11760904024470673561/82448216010000 |
j-invariant |
L |
3.9668612557144 |
L(r)(E,1)/r! |
Ω |
0.32373522870315 |
Real period |
R |
3.0633530922825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100890q2 |
Quadratic twists by: -3 |