Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600u |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1218375000000 = -1 · 26 · 33 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,53088] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:228:1] |
Generators of the group modulo torsion |
j |
-85184/9747 |
j-invariant |
L |
8.3026307896329 |
L(r)(E,1)/r! |
Ω |
0.70888526770571 |
Real period |
R |
1.952039154026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600bm1 91200ch1 45600bk1 |
Quadratic twists by: -4 8 5 |