Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dp |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10496330956800 = -1 · 218 · 36 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1631595,-802170470] |
[a1,a2,a3,a4,a6] |
Generators |
[16755916900927141:-3505502850215805018:382499074979] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
7.131241615741 |
L(r)(E,1)/r! |
Ω |
0.066790772573069 |
Real period |
R |
26.692465669339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bo2 5200t2 46800fr2 |
Quadratic twists by: -4 -3 5 |