Atkin-Lehner |
2+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598h |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-91807034370501632 = -1 · 210 · 75 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ -1 0 7- -1 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417755,104771101] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-7149:1] [-730:4989:1] |
Generators of the group modulo torsion |
j |
-334038694641625/3803491328 |
j-invariant |
L |
6.1500596172401 |
L(r)(E,1)/r! |
Ω |
0.34023234207261 |
Real period |
R |
0.45190145503059 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094a1 |
Quadratic twists by: 17 |