Atkin-Lehner |
2- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9010d |
Isogeny class |
Conductor |
9010 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-12988816000000 = -1 · 210 · 56 · 172 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3115,160225] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-885:1] |
Generators of the group modulo torsion |
j |
3342636501165359/12988816000000 |
j-invariant |
L |
4.7096397015506 |
L(r)(E,1)/r! |
Ω |
0.50519621331301 |
Real period |
R |
0.15537328459192 |
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 |
72080i2 81090g2 45050a2 |
Quadratic twists by: -4 -3 5 |