Atkin-Lehner |
2- 3- 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bi |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-70809300026366400 = -1 · 26 · 314 · 52 · 194 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44023,12288201] |
[a1,a2,a3,a4,a6] |
Generators |
[419:9996:1] |
Generators of the group modulo torsion |
j |
12943279710975671/97132098801600 |
j-invariant |
L |
13.412231766408 |
L(r)(E,1)/r! |
Ω |
0.25234102792502 |
Real period |
R |
2.2146338727872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470a1 |
Quadratic twists by: -3 |