Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192ca |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-673447811654725632 = -1 · 212 · 311 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 1 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-558077,165068427] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-5292:1] |
Generators of the group modulo torsion |
j |
-39889507589632/1397512683 |
j-invariant |
L |
10.181890118179 |
L(r)(E,1)/r! |
Ω |
0.28532738186192 |
Real period |
R |
0.8110213327587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192c1 15456k1 |
Quadratic twists by: -4 -7 |