Atkin-Lehner |
2- 3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270bh |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
52125696 |
Modular degree for the optimal curve |
Δ |
-2.7508834436373E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1586085863,-24312582657889] |
[a1,a2,a3,a4,a6] |
j |
-605307794327412086775288853801/37735026661691228160 |
j-invariant |
L |
2.6793900799943 |
L(r)(E,1)/r! |
Ω |
0.011961561674378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090i1 |
Quadratic twists by: -3 |