Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bu |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
5824 |
Product of Tamagawa factors cp |
Δ |
1.0497629195772E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10592791,-12321069079] |
[a1,a2,a3,a4,a6] |
Generators |
[28646:-4830043:1] |
Generators of the group modulo torsion |
j |
131448285339493409084852209/10497629195771939020800 |
j-invariant |
L |
9.8792312821198 |
L(r)(E,1)/r! |
Ω |
0.084108898649192 |
Real period |
R |
0.080671444152864 |
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 |
90090bv2 |
Quadratic twists by: -3 |