Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030b |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15150375000 = 23 · 33 · 56 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2000004,1089165528] |
[a1,a2,a3,a4,a6] |
Generators |
[9007:840314:1] |
Generators of the group modulo torsion |
j |
32768205824430944300763/561125000 |
j-invariant |
L |
3.2894397897455 |
L(r)(E,1)/r! |
Ω |
0.6404685573811 |
Real period |
R |
7.7039842592651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48240bh2 6030o4 30150bq2 |
Quadratic twists by: -4 -3 5 |