Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598o |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
1225343225829632 = 28 · 78 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2042879,-1124028647] |
[a1,a2,a3,a4,a6] |
j |
191913220541846010689/249408350464 |
j-invariant |
L |
2.0205002528339 |
L(r)(E,1)/r! |
Ω |
0.12628126578731 |
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 |
52598ba1 |
Quadratic twists by: 17 |