Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120k |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
31322869760 = 212 · 5 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1001,-9065] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:56:1] |
Generators of the group modulo torsion |
j |
27108144064/7647185 |
j-invariant |
L |
3.8506266168539 |
L(r)(E,1)/r! |
Ω |
0.86685462581381 |
Real period |
R |
0.74034455570504 |
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 |
29120d1 14560r1 |
Quadratic twists by: -4 8 |