Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992f |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
547000272 = 24 · 32 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1266203,548829450] |
[a1,a2,a3,a4,a6] |
Generators |
[1771462:535347:2744] |
Generators of the group modulo torsion |
j |
14031822649153121536000/34187517 |
j-invariant |
L |
6.0026507847133 |
L(r)(E,1)/r! |
Ω |
0.76217767356343 |
Real period |
R |
7.8756581168059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496y1 |
Quadratic twists by: -4 |