Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900i |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-19646709468750000 = -1 · 24 · 312 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39300,-6040375] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1125:1] |
Generators of the group modulo torsion |
j |
36832722944/107800875 |
j-invariant |
L |
6.1815181767413 |
L(r)(E,1)/r! |
Ω |
0.1975871233142 |
Real period |
R |
1.3035427265585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300c1 16380f1 |
Quadratic twists by: -3 5 |