Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774j |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-8312548138506407936 = -1 · 212 · 76 · 297 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,109733,-137962455] |
[a1,a2,a3,a4,a6] |
Generators |
[7571:655558:1] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
4.7324758470952 |
L(r)(E,1)/r! |
Ω |
0.11124208306769 |
Real period |
R |
0.14771575063383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192o2 105966ba2 82418m2 406b2 |
Quadratic twists by: -4 -3 -7 29 |