Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gz |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-24460800000000 = -1 · 215 · 3 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26208,1641588] |
[a1,a2,a3,a4,a6] |
Generators |
[74:336:1] |
Generators of the group modulo torsion |
j |
-1244290945/15288 |
j-invariant |
L |
8.2466963998697 |
L(r)(E,1)/r! |
Ω |
0.67528654642665 |
Real period |
R |
1.5265179654366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650cg1 109200do1 |
Quadratic twists by: -4 5 |