Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bg |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.2481104495588E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32334575,-69919844983] |
[a1,a2,a3,a4,a6] |
Generators |
[11187:978556:1] |
Generators of the group modulo torsion |
j |
3738739308040935679248658801/52481104495587955687500 |
j-invariant |
L |
8.1888977557221 |
L(r)(E,1)/r! |
Ω |
0.063365349406328 |
Real period |
R |
2.6923553357777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bf6 |
Quadratic twists by: -3 |