Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080h |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-190993762971000000 = -1 · 26 · 34 · 56 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88290,18413892] |
[a1,a2,a3,a4,a6] |
j |
504358336/1265625 |
j-invariant |
L |
2.6733473578437 |
L(r)(E,1)/r! |
Ω |
0.22277894661273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080cc1 116160cp2 58080bl1 |
Quadratic twists by: -4 8 -11 |