Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610h |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-360747465210 = -1 · 2 · 313 · 5 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1768,4866] |
[a1,a2,a3,a4,a6] |
j |
610641930681719/360747465210 |
j-invariant |
L |
0.58189097627788 |
L(r)(E,1)/r! |
Ω |
0.58189097627788 |
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 |
44880cw1 16830ci1 28050de1 61710cc1 |
Quadratic twists by: -4 -3 5 -11 |