Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725c |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1307109375 = 32 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7313,237656] |
[a1,a2,a3,a4,a6] |
Generators |
[0:487:1] |
Generators of the group modulo torsion |
j |
2768178670921/83655 |
j-invariant |
L |
2.0122822671879 |
L(r)(E,1)/r! |
Ω |
1.4226957640796 |
Real period |
R |
0.35360375668402 |
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 |
32175o2 2145f2 117975o2 |
Quadratic twists by: -3 5 -11 |