Atkin-Lehner |
3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015u |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
16802579819025 = 34 · 52 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151820,22755375] |
[a1,a2,a3,a4,a6] |
j |
386999899451621426881/16802579819025 |
j-invariant |
L |
1.3051156000503 |
L(r)(E,1)/r! |
Ω |
0.65255780002516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
45045w2 75075q2 105105f2 |
Quadratic twists by: -3 5 -7 |