Atkin-Lehner |
2+ 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910u |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-7113470733429840 = -1 · 24 · 39 · 5 · 135 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 5 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101754,-13110332] |
[a1,a2,a3,a4,a6] |
j |
-159828070411428769/9757847370960 |
j-invariant |
L |
3.1963916655287 |
L(r)(E,1)/r! |
Ω |
0.1331829860637 |
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 |
8970j1 |
Quadratic twists by: -3 |