Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030d |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1515037500000 = 25 · 33 · 58 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3129,-31347] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:204:1] |
Generators of the group modulo torsion |
j |
125503173650763/56112500000 |
j-invariant |
L |
2.8468993822625 |
L(r)(E,1)/r! |
Ω |
0.6654816085951 |
Real period |
R |
0.53474418854952 |
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 |
48240bf2 6030q2 30150bo2 |
Quadratic twists by: -4 -3 5 |