Atkin-Lehner |
3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925bj |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
164864 |
Modular degree for the optimal curve |
Δ |
554625113625 = 313 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47322,-3950289] |
[a1,a2,a3,a4,a6] |
j |
128611737881333/6086421 |
j-invariant |
L |
1.2947758080178 |
L(r)(E,1)/r! |
Ω |
0.3236939519189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975w1 56925bn1 |
Quadratic twists by: -3 5 |