Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8.7845531284104E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-409656,-462230700] |
[a1,a2,a3,a4,a6] |
Generators |
[2084020:-268886442:125] |
Generators of the group modulo torsion |
j |
-45998156287/531468300 |
j-invariant |
L |
8.8740206274123 |
L(r)(E,1)/r! |
Ω |
0.081434889735416 |
Real period |
R |
9.0808954667282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170c2 129360fh2 |
Quadratic twists by: -4 -7 |