Atkin-Lehner |
3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56265x |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
417147741398025 = 34 · 52 · 118 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56570,-5089413] |
[a1,a2,a3,a4,a6] |
j |
11301253512121/235469025 |
j-invariant |
L |
1.2398330123396 |
L(r)(E,1)/r! |
Ω |
0.3099582531749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5115j2 |
Quadratic twists by: -11 |