Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520k |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-43022168064000 = -1 · 215 · 33 · 53 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,313200] |
[a1,a2,a3,a4,a6] |
Generators |
[50:730:1] |
Generators of the group modulo torsion |
j |
198257271191/10503459000 |
j-invariant |
L |
3.7058119189396 |
L(r)(E,1)/r! |
Ω |
0.48792402597962 |
Real period |
R |
1.265843219307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190d2 70080cp2 52560bh2 87600ca2 |
Quadratic twists by: -4 8 -3 5 |