Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725f |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1264701262362890625 = 34 · 58 · 72 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1155625,-475571000] |
[a1,a2,a3,a4,a6] |
Generators |
[-5218:11483:8] |
Generators of the group modulo torsion |
j |
2263054145689/16769025 |
j-invariant |
L |
3.6472696666295 |
L(r)(E,1)/r! |
Ω |
0.14567642353713 |
Real period |
R |
6.2591968762886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016504 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745w2 6825d2 |
Quadratic twists by: 5 13 |