Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598bh |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
41188007590912 = 210 · 77 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -4 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-187896,31394427] |
[a1,a2,a3,a4,a6] |
Generators |
[-461:4689:1] [225:573:1] |
Generators of the group modulo torsion |
j |
2538494967718840113/142519057408 |
j-invariant |
L |
8.2754523606057 |
L(r)(E,1)/r! |
Ω |
0.60930772783834 |
Real period |
R |
0.09701234910307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598y1 |
Quadratic twists by: 17 |