Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ea |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-9.16722970416E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1758612,-1008942784] |
[a1,a2,a3,a4,a6] |
Generators |
[3052:148500:1] |
Generators of the group modulo torsion |
j |
-201440287521417664/30700866796875 |
j-invariant |
L |
5.7542772474266 |
L(r)(E,1)/r! |
Ω |
0.06500418334517 |
Real period |
R |
1.8442009393686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dj2 15840d1 10560bi2 |
Quadratic twists by: -4 8 -3 |