Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150d |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
172572240234375000 = 23 · 39 · 512 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450000942,-3674133653284] |
[a1,a2,a3,a4,a6] |
Generators |
[118570922434776521:-28777345644953363373:1788746241619] |
Generators of the group modulo torsion |
j |
32768205824430944300763/561125000 |
j-invariant |
L |
3.7329045013158 |
L(r)(E,1)/r! |
Ω |
0.032779037635636 |
Real period |
R |
28.47021122775 |
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 |
30150bq2 6030o4 |
Quadratic twists by: -3 5 |