Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bj |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2010612326400 = 213 · 37 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,47698] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:360:1] |
Generators of the group modulo torsion |
j |
1732323601/673350 |
j-invariant |
L |
5.5398909200252 |
L(r)(E,1)/r! |
Ω |
0.75438272982025 |
Real period |
R |
0.91795097849942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030h2 16080v2 |
Quadratic twists by: -4 -3 |