Atkin-Lehner |
2- 7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
106288v |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-5333106688 = -1 · 214 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904,10740] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:122:1] [-2:112:1] |
Generators of the group modulo torsion |
j |
-19968681097/1302028 |
j-invariant |
L |
6.8522821033741 |
L(r)(E,1)/r! |
Ω |
1.336862633065 |
Real period |
R |
0.42713701062468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286c1 |
Quadratic twists by: -4 |