Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598w |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1683136 = -1 · 26 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 6 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:3:1] |
Generators of the group modulo torsion |
j |
8381663/5824 |
j-invariant |
L |
11.559848127643 |
L(r)(E,1)/r! |
Ω |
1.6810643224491 |
Real period |
R |
1.1460842567855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598bj1 |
Quadratic twists by: 17 |