Atkin-Lehner |
3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58443j |
Isogeny class |
Conductor |
58443 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
2863707 = 3 · 73 · 112 · 23 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:87:8] [-2:8:1] |
Generators of the group modulo torsion |
j |
40962625/23667 |
j-invariant |
L |
10.399843867404 |
L(r)(E,1)/r! |
Ω |
2.1369410297208 |
Real period |
R |
1.6222322348886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58443g1 |
Quadratic twists by: -11 |