Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950g |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1857101452492500000 = -1 · 25 · 33 · 57 · 317 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 5 1 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477192,-142698784] |
[a1,a2,a3,a4,a6] |
Generators |
[42074587:272248894:50653] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
4.3897037755884 |
L(r)(E,1)/r! |
Ω |
0.090056246706222 |
Real period |
R |
12.186005791215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600dc1 13950bw1 2790p1 |
Quadratic twists by: -4 -3 5 |