Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120w |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
542061054918656000 = 224 · 53 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-424705,-100328703] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:1680:1] |
Generators of the group modulo torsion |
j |
32318182904349889/2067798824000 |
j-invariant |
L |
8.7688003631029 |
L(r)(E,1)/r! |
Ω |
0.1877659416436 |
Real period |
R |
2.5944831712485 |
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 |
29120cd3 910j3 |
Quadratic twists by: -4 8 |