Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525ca |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
5969677181201204625 = 310 · 53 · 73 · 119 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-586611,-126881207] |
[a1,a2,a3,a4,a6] |
Generators |
[917:9861:1] |
Generators of the group modulo torsion |
j |
75740658391/20253807 |
j-invariant |
L |
9.5031667119983 |
L(r)(E,1)/r! |
Ω |
0.17595326277659 |
Real period |
R |
5.4009607791033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63525bd1 63525ci1 |
Quadratic twists by: 5 -11 |