Atkin-Lehner |
3+ 5+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115a |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-18041391389552715 = -1 · 39 · 5 · 29 · 436 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23843,6621886] |
[a1,a2,a3,a4,a6] |
Generators |
[61:2291:1] [893:25951:1] |
Generators of the group modulo torsion |
j |
-76154932854603/916597642105 |
j-invariant |
L |
5.6847159158826 |
L(r)(E,1)/r! |
Ω |
0.32964607881324 |
Real period |
R |
5.748302276535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115b2 |
Quadratic twists by: -3 |