Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744g |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
1470960663552 = 210 · 313 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 6 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5331,137986] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:486:1] |
Generators of the group modulo torsion |
j |
22445137732/1970487 |
j-invariant |
L |
6.6528857599814 |
L(r)(E,1)/r! |
Ω |
0.82905239473607 |
Real period |
R |
1.0030858444962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64872c1 43248e1 |
Quadratic twists by: -4 -3 |