Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488bv |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
507904 |
Modular degree for the optimal curve |
Δ |
-866246587747632 = -1 · 24 · 37 · 74 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21594,1870013] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4446:1] |
Generators of the group modulo torsion |
j |
-95471883876352/74266682763 |
j-invariant |
L |
9.7262832424894 |
L(r)(E,1)/r! |
Ω |
0.458923435572 |
Real period |
R |
1.3246059136971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496l1 |
Quadratic twists by: -3 |