Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600cn |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-43027200000000 = -1 · 214 · 34 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,348912] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:432:1] [42:-450:1] |
Generators of the group modulo torsion |
j |
-9765625/26892 |
j-invariant |
L |
9.0066116810269 |
L(r)(E,1)/r! |
Ω |
0.56600185019919 |
Real period |
R |
0.66302872785428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450k1 99600cx1 |
Quadratic twists by: -4 5 |