Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200dx |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-280371200000000 = -1 · 219 · 58 · 372 |
Discriminant |
Eigenvalues |
2- -1 5- -4 3 -6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,817537] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:800:1] [-8:925:1] |
Generators of the group modulo torsion |
j |
-121945/2738 |
j-invariant |
L |
7.3648773924601 |
L(r)(E,1)/r! |
Ω |
0.46084049419953 |
Real period |
R |
0.665891767792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bt1 14800be1 59200cd1 |
Quadratic twists by: -4 8 5 |