Atkin-Lehner |
2+ 3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030g |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
3.9754903851813E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-929045197,-10899802618019] |
[a1,a2,a3,a4,a6] |
Generators |
[-17603:7069:1] |
Generators of the group modulo torsion |
j |
88681747042804223880073236311641/39754903851813150000000 |
j-invariant |
L |
3.5364378622955 |
L(r)(E,1)/r! |
Ω |
0.027345782528696 |
Real period |
R |
1.616537147266 |
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 |
90090df2 |
Quadratic twists by: -3 |