Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bz |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
80358801408 = 217 · 36 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 5 0 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6699,-210598] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:2:1] |
Generators of the group modulo torsion |
j |
13239457/32 |
j-invariant |
L |
10.219753790775 |
L(r)(E,1)/r! |
Ω |
0.52778876192304 |
Real period |
R |
2.4204176257362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138x1 13456h1 121104ct1 |
Quadratic twists by: -4 -3 29 |