Atkin-Lehner |
2- 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bt |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
14273634375000 = 23 · 33 · 58 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-194882701,1047131714681] |
[a1,a2,a3,a4,a6] |
Generators |
[98239072:-21727661:12167] |
Generators of the group modulo torsion |
j |
818546927584539194367471866449/14273634375000 |
j-invariant |
L |
9.7380353307345 |
L(r)(E,1)/r! |
Ω |
0.24815751400089 |
Real period |
R |
6.5402246431672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090cd5 |
Quadratic twists by: -3 |