Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bc |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-24255196875000 = -1 · 23 · 38 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4724,201698] |
[a1,a2,a3,a4,a6] |
Generators |
[22:551:1] |
Generators of the group modulo torsion |
j |
746389464911/1552332600 |
j-invariant |
L |
4.3572120717121 |
L(r)(E,1)/r! |
Ω |
0.46604610882014 |
Real period |
R |
0.58433221376193 |
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 |
109200cv2 40950ec2 2730s2 95550bh2 |
Quadratic twists by: -4 -3 5 -7 |