Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850c |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-397665625000000 = -1 · 26 · 511 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-673776,212819198] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:-17429:1] [473:-293:1] |
Generators of the group modulo torsion |
j |
-901689913000849/10600000 |
j-invariant |
L |
6.3202302703871 |
L(r)(E,1)/r! |
Ω |
0.48424599656586 |
Real period |
R |
0.5438205582601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999903218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970t1 129850k1 |
Quadratic twists by: 5 -7 |