Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950br |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-523125000000 = -1 · 26 · 33 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29180,-1911553] |
[a1,a2,a3,a4,a6] |
j |
-10420818075/1984 |
j-invariant |
L |
2.1916726367886 |
L(r)(E,1)/r! |
Ω |
0.18263938639905 |
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 |
111600co1 13950a1 13950j1 |
Quadratic twists by: -4 -3 5 |