Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300z |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-55299543750000 = -1 · 24 · 33 · 58 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13958,-733287] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4011:1] |
Generators of the group modulo torsion |
j |
-48122080000/8847927 |
j-invariant |
L |
9.0953741984856 |
L(r)(E,1)/r! |
Ω |
0.21744362323002 |
Real period |
R |
4.6476282842374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996182 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102300d1 |
Quadratic twists by: 5 |