Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bc |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-3564386586722304 = -1 · 219 · 39 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 -6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26948,3345895] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-3139:1] |
Generators of the group modulo torsion |
j |
-109950428651643/181089599488 |
j-invariant |
L |
9.7026133104278 |
L(r)(E,1)/r! |
Ω |
0.39796194817737 |
Real period |
R |
0.21386628325383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126882f1 |
Quadratic twists by: -3 |