Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ho |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-665834515500000000 = -1 · 28 · 3 · 59 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116685,-42189225] |
[a1,a2,a3,a4,a6] |
Generators |
[4055:257250:1] |
Generators of the group modulo torsion |
j |
-5833703071744/22107421875 |
j-invariant |
L |
8.9247333625213 |
L(r)(E,1)/r! |
Ω |
0.11815219797793 |
Real period |
R |
1.0491098202515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999073907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340t2 18480bk2 |
Quadratic twists by: -4 -7 |