Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030w |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8838550620900 = 22 · 36 · 52 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5988,-106994] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:243:1] |
Generators of the group modulo torsion |
j |
23739131421142201/8838550620900 |
j-invariant |
L |
5.5304755935175 |
L(r)(E,1)/r! |
Ω |
0.55981769078066 |
Real period |
R |
0.41162772605827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90090da2 |
Quadratic twists by: -3 |