Atkin-Lehner |
2+ 3- 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39390d |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
47168 |
Modular degree for the optimal curve |
Δ |
-60474442860 = -1 · 22 · 311 · 5 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274,11936] |
[a1,a2,a3,a4,a6] |
Generators |
[19:107:1] [-20:107:1] |
Generators of the group modulo torsion |
j |
-2263054145689/60474442860 |
j-invariant |
L |
7.0389457097659 |
L(r)(E,1)/r! |
Ω |
0.92847395816439 |
Real period |
R |
0.17229997400747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118170bc1 |
Quadratic twists by: -3 |