Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725b |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5576162109375 = -1 · 3 · 510 · 114 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3625,-75000] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:13719:8] |
Generators of the group modulo torsion |
j |
337008232079/356874375 |
j-invariant |
L |
3.4252506873022 |
L(r)(E,1)/r! |
Ω |
0.41213235790946 |
Real period |
R |
4.1555226392279 |
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 |
32175q3 2145g4 117975r3 |
Quadratic twists by: -3 5 -11 |