Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cd |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
150824283062796288 = 217 · 310 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2057484,1135779568] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:45360:1] |
Generators of the group modulo torsion |
j |
5690357426/891 |
j-invariant |
L |
8.2305529809554 |
L(r)(E,1)/r! |
Ω |
0.31437423803925 |
Real period |
R |
3.2725936101044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696gh4 8712k3 23232cb4 6336z3 |
Quadratic twists by: -4 8 -3 -11 |