Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600bz |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1236000000 = -1 · 28 · 3 · 56 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,1688] |
[a1,a2,a3,a4,a6] |
Generators |
[-1045:2514:125] |
Generators of the group modulo torsion |
j |
21296/309 |
j-invariant |
L |
6.9928499368925 |
L(r)(E,1)/r! |
Ω |
1.1380844013226 |
Real period |
R |
6.1444035725843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30900c1 4944g1 |
Quadratic twists by: -4 5 |