Atkin-Lehner |
2+ 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746m |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-7.9861083937247E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1942586,-872471276] |
[a1,a2,a3,a4,a6] |
Generators |
[2611:147046:1] |
Generators of the group modulo torsion |
j |
810707379656804301880727/798610839372471730176 |
j-invariant |
L |
1.9530826675902 |
L(r)(E,1)/r! |
Ω |
0.086662801698619 |
Real period |
R |
1.1268287138826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238cj1 |
Quadratic twists by: -3 |