Atkin-Lehner |
2+ 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408t |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
17164992 = 26 · 3 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668,6870] |
[a1,a2,a3,a4,a6] |
Generators |
[19:26:1] [79:664:1] |
Generators of the group modulo torsion |
j |
515849608000/268203 |
j-invariant |
L |
8.2118492635262 |
L(r)(E,1)/r! |
Ω |
2.1623665736611 |
Real period |
R |
3.7976212560619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bq1 28704q2 |
Quadratic twists by: -4 8 |