Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515h |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-63672227045 = -1 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,971,3198] |
[a1,a2,a3,a4,a6] |
Generators |
[11636:153089:64] |
Generators of the group modulo torsion |
j |
860085351/541205 |
j-invariant |
L |
5.7436618032331 |
L(r)(E,1)/r! |
Ω |
0.68558574906718 |
Real period |
R |
4.1888719325395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635y2 57575k2 1645a2 |
Quadratic twists by: -3 5 -7 |