Atkin-Lehner |
2- 5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940g |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
10940384000 = 28 · 53 · 7 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4740,-127100] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:10:1] |
Generators of the group modulo torsion |
j |
46016161853776/42735875 |
j-invariant |
L |
3.6133527434507 |
L(r)(E,1)/r! |
Ω |
0.57540224051743 |
Real period |
R |
0.69774430805162 |
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 |
123760bo2 |
Quadratic twists by: -4 |