Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ba |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146764800 |
Modular degree for the optimal curve |
Δ |
-6.3340650497137E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16374026655,806470438773325] |
[a1,a2,a3,a4,a6] |
j |
-4830912149265798523369/63026250000000 |
j-invariant |
L |
1.3882680941641 |
L(r)(E,1)/r! |
Ω |
0.038563014359273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490cm1 106470fv1 |
Quadratic twists by: -3 13 |