Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600z |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2523000000000 = -1 · 29 · 3 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,52088] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1572:1] |
Generators of the group modulo torsion |
j |
2406104/2523 |
j-invariant |
L |
5.4731173769659 |
L(r)(E,1)/r! |
Ω |
0.53786286040477 |
Real period |
R |
5.0878372348284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000308 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600m2 69600bj2 |
Quadratic twists by: -4 5 |