Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450z |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-37969920000 = -1 · 216 · 32 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1013,15131] |
[a1,a2,a3,a4,a6] |
Generators |
[15:52:1] |
Generators of the group modulo torsion |
j |
-183949590625/60751872 |
j-invariant |
L |
6.4045094946974 |
L(r)(E,1)/r! |
Ω |
1.089056300417 |
Real period |
R |
0.061258210933832 |
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 |
123600cx1 46350y1 15450o1 |
Quadratic twists by: -4 -3 5 |