Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cl |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3283200000000 = -1 · 214 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2792,-67088] |
[a1,a2,a3,a4,a6] |
Generators |
[42:350:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
3.9309975137172 |
L(r)(E,1)/r! |
Ω |
0.42339049613919 |
Real period |
R |
1.5474278668523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2850o1 91200jg1 68400fz1 22800cw1 |
Quadratic twists by: -4 8 -3 5 |