Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568s |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-262520876630016 = -1 · 216 · 32 · 174 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5256,-767376] |
[a1,a2,a3,a4,a6] |
Generators |
[74:146:1] |
Generators of the group modulo torsion |
j |
3919649222663/64092010896 |
j-invariant |
L |
4.6248020884189 |
L(r)(E,1)/r! |
Ω |
0.26942931293146 |
Real period |
R |
4.291294475547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7446f2 |
Quadratic twists by: -4 |