Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
106200g |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
866304 |
Modular degree for the optimal curve |
Δ |
129359195424000 = 28 · 39 · 53 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 5 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269460,53835300] |
[a1,a2,a3,a4,a6] |
Generators |
[186:3186:1] |
Generators of the group modulo torsion |
j |
3435305444352/205379 |
j-invariant |
L |
5.0799436051343 |
L(r)(E,1)/r! |
Ω |
0.5546952161969 |
Real period |
R |
0.19079334975097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106200ba1 106200bc1 |
Quadratic twists by: -3 5 |