Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13950bz |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-24406920000 = -1 · 26 · 39 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10505,417097] |
[a1,a2,a3,a4,a6] |
Generators |
[49:110:1] |
Generators of the group modulo torsion |
j |
-10420818075/1984 |
j-invariant |
L |
7.5803545175881 |
L(r)(E,1)/r! |
Ω |
1.1613982113908 |
Real period |
R |
0.18130336451455 |
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 |
111600di1 13950j1 13950a1 |
Quadratic twists by: -4 -3 5 |