Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800r |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-4413867187500000000 = -1 · 28 · 36 · 517 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1620300,800264500] |
[a1,a2,a3,a4,a6] |
Generators |
[16770:-156250:27] |
Generators of the group modulo torsion |
j |
-161332732109824/1513671875 |
j-invariant |
L |
6.5485811747483 |
L(r)(E,1)/r! |
Ω |
0.24655980127631 |
Real period |
R |
1.6599880487336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600t1 6200k1 11160q1 |
Quadratic twists by: -4 -3 5 |