Atkin-Lehner |
2+ 3+ 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598b |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
169664131840896 = 27 · 39 · 7 · 112 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14595,264149] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:583:1] |
Generators of the group modulo torsion |
j |
17468734953123/8619830912 |
j-invariant |
L |
4.3065966379167 |
L(r)(E,1)/r! |
Ω |
0.50795430252888 |
Real period |
R |
0.70652625906816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59598m1 |
Quadratic twists by: -3 |