Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bn |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
1.6806973974372E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61484225,-185543377500] |
[a1,a2,a3,a4,a6] |
j |
1606552218142211899487174656/1050435873398278125 |
j-invariant |
L |
0.53914880282262 |
L(r)(E,1)/r! |
Ω |
0.05391488029878 |
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 |
12540k1 |
Quadratic twists by: -4 |