Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
63900f |
Isogeny class |
Conductor |
63900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-21777120000 = -1 · 28 · 33 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 0 3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,152900] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:270:1] [5:355:1] |
Generators of the group modulo torsion |
j |
-4031078400/5041 |
j-invariant |
L |
9.6445412365411 |
L(r)(E,1)/r! |
Ω |
1.204758056173 |
Real period |
R |
0.22237155573624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63900e1 63900d1 |
Quadratic twists by: -3 5 |