Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528f |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
623616 |
Modular degree for the optimal curve |
Δ |
2128715858560807936 = 210 · 73 · 677 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 4 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-591376,160153636] |
[a1,a2,a3,a4,a6] |
j |
65121059253382492/6060711605323 |
j-invariant |
L |
2.0305380044423 |
L(r)(E,1)/r! |
Ω |
0.25381725063176 |
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 |
26264k1 52528j1 |
Quadratic twists by: -4 -7 |