Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925bo |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1366020703125 = 38 · 58 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -5 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7500,-243594] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:221:8] |
Generators of the group modulo torsion |
j |
163840000/4797 |
j-invariant |
L |
5.8914688026496 |
L(r)(E,1)/r! |
Ω |
0.51393916793114 |
Real period |
R |
1.9105597117936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975x1 119925ba1 |
Quadratic twists by: -3 5 |