Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850j |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-4888551248000000 = -1 · 210 · 56 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -6 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17175,-3480875] |
[a1,a2,a3,a4,a6] |
Generators |
[190:305:1] |
Generators of the group modulo torsion |
j |
-304821217/2659328 |
j-invariant |
L |
3.4593190754308 |
L(r)(E,1)/r! |
Ω |
0.1828450212604 |
Real period |
R |
2.364925719102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194m1 18550a1 |
Quadratic twists by: 5 -7 |