Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9010d |
Isogeny class |
Conductor |
9010 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
118095872000 = 220 · 53 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2005,30177] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:183:1] |
Generators of the group modulo torsion |
j |
891415909325521/118095872000 |
j-invariant |
L |
4.7096397015506 |
L(r)(E,1)/r! |
Ω |
1.010392426626 |
Real period |
R |
0.31074656918384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080i1 81090g1 45050a1 |
Quadratic twists by: -4 -3 5 |