Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645h |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1432903863111875 = 54 · 76 · 117 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350923,80080872] |
[a1,a2,a3,a4,a6] |
Generators |
[135:5861:1] |
Generators of the group modulo torsion |
j |
22930509321/6875 |
j-invariant |
L |
2.8900034267153 |
L(r)(E,1)/r! |
Ω |
0.46891123918688 |
Real period |
R |
1.5408051594832 |
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 |
605b3 2695a3 |
Quadratic twists by: -7 -11 |