Atkin-Lehner |
3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bl |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-47119842595546875 = -1 · 313 · 57 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-444657,-114603188] |
[a1,a2,a3,a4,a6] |
j |
-13337412539135832064/64636272421875 |
j-invariant |
L |
1.2937948409191 |
L(r)(E,1)/r! |
Ω |
0.092413917255195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635c1 |
Quadratic twists by: -3 |