Atkin-Lehner |
2- 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480bb |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
-2.428416E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83024,236886976] |
[a1,a2,a3,a4,a6] |
j |
15451458978984911/5928750000000000 |
j-invariant |
L |
1.3226482171664 |
L(r)(E,1)/r! |
Ω |
0.16533082464545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810t1 |
Quadratic twists by: -4 |