Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950fj |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-958644191232000 = -1 · 218 · 38 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18860,1797167] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-5195:1] |
Generators of the group modulo torsion |
j |
-8141222941613/10520100864 |
j-invariant |
L |
9.1688625699222 |
L(r)(E,1)/r! |
Ω |
0.44747910439507 |
Real period |
R |
0.18972254751918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bo1 40950ce1 |
Quadratic twists by: -3 5 |