Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160z |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-22740640000 = -1 · 28 · 54 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,660,3400] |
[a1,a2,a3,a4,a6] |
Generators |
[15:130:1] |
Generators of the group modulo torsion |
j |
124010187824/88830625 |
j-invariant |
L |
3.4200900403242 |
L(r)(E,1)/r! |
Ω |
0.76444462974463 |
Real period |
R |
1.1184884775326 |
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 |
7540e2 120640ck2 |
Quadratic twists by: -4 8 |