Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560o |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-466291261440 = -1 · 221 · 36 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 7 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41825,3306465] |
[a1,a2,a3,a4,a6] |
j |
-30867540216409/1778760 |
j-invariant |
L |
3.5427196204839 |
L(r)(E,1)/r! |
Ω |
0.88567990549541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560du1 1830c1 |
Quadratic twists by: -4 8 |