Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317h |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-22857614673831 = -1 · 37 · 710 · 37 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6183,298080] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:696:1] [156:1686:1] |
Generators of the group modulo torsion |
j |
-304821217/266511 |
j-invariant |
L |
7.5632619492373 |
L(r)(E,1)/r! |
Ω |
0.61887022065877 |
Real period |
R |
6.1105395741832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5439h1 2331h1 |
Quadratic twists by: -3 -7 |