Atkin-Lehner |
2+ 3- 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882r |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-70487137090944 = -1 · 27 · 313 · 73 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163548,25501648] |
[a1,a2,a3,a4,a6] |
Generators |
[1798:1045:8] |
Generators of the group modulo torsion |
j |
-663641276865158593/96690174336 |
j-invariant |
L |
6.3160236419672 |
L(r)(E,1)/r! |
Ω |
0.59478525852121 |
Real period |
R |
2.6547495669374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42294r1 |
Quadratic twists by: -3 |