Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438l |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-64449145372409856 = -1 · 235 · 36 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-336695,-76211031] |
[a1,a2,a3,a4,a6] |
Generators |
[790:11893:1] |
Generators of the group modulo torsion |
j |
-4221179243287843088881/64449145372409856 |
j-invariant |
L |
9.2927608726917 |
L(r)(E,1)/r! |
Ω |
0.099007096863733 |
Real period |
R |
0.44695020511325 |
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 |
123504bc1 46314i1 |
Quadratic twists by: -4 -3 |