Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bc |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
2.7995420711832E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75195034,-237721287604] |
[a1,a2,a3,a4,a6] |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
0.4116761450009 |
L(r)(E,1)/r! |
Ω |
0.051459518125113 |
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 |
57330fi1 95550gz1 2730i1 |
Quadratic twists by: -3 5 -7 |