Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200u |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-338256000000 = -1 · 210 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,4750] |
[a1,a2,a3,a4,a6] |
Generators |
[957:8972:27] |
Generators of the group modulo torsion |
j |
48668/29 |
j-invariant |
L |
6.2717592869697 |
L(r)(E,1)/r! |
Ω |
0.58715675692576 |
Real period |
R |
5.3407877989652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400bg1 5800g1 2088m1 |
Quadratic twists by: -4 -3 5 |