Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725r |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
140522362484765625 = 32 · 58 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-162750,17634375] |
[a1,a2,a3,a4,a6] |
j |
6321363049/1863225 |
j-invariant |
L |
1.2149656742974 |
L(r)(E,1)/r! |
Ω |
0.30374139933266 |
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 |
17745t2 6825a2 |
Quadratic twists by: 5 13 |