Atkin-Lehner |
3- 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275p |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1464960 |
Modular degree for the optimal curve |
Δ |
-1371947625 = -1 · 35 · 53 · 312 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 2 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9018818,10424164077] |
[a1,a2,a3,a4,a6] |
Generators |
[1737:-636:1] |
Generators of the group modulo torsion |
j |
-649026711275603352105077/10975581 |
j-invariant |
L |
6.8702019888447 |
L(r)(E,1)/r! |
Ω |
0.53546187150155 |
Real period |
R |
0.6415211170473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109275i1 |
Quadratic twists by: 5 |