Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584db |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5506514944 = -1 · 214 · 72 · 193 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,4591] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:57:1] [-3:76:1] |
Generators of the group modulo torsion |
j |
-8904784/6859 |
j-invariant |
L |
7.1000093110231 |
L(r)(E,1)/r! |
Ω |
1.2443618487129 |
Real period |
R |
0.95095722067674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584t1 14896l1 59584bq1 |
Quadratic twists by: -4 8 -7 |