Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528j |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4365312 |
Modular degree for the optimal curve |
Δ |
2.5044129204382E+23 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 4 -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28977440,-54990652016] |
[a1,a2,a3,a4,a6] |
j |
65121059253382492/6060711605323 |
j-invariant |
L |
0.52366881122268 |
L(r)(E,1)/r! |
Ω |
0.065458601426546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26264f1 52528f1 |
Quadratic twists by: -4 -7 |