Atkin-Lehner |
2+ 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109554b |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41983920 |
Modular degree for the optimal curve |
Δ |
-2.7196823607246E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -3 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-249355014,1536092816328] |
[a1,a2,a3,a4,a6] |
Generators |
[1700238:413535964:27] |
Generators of the group modulo torsion |
j |
-2010409280180424553/31887805608612 |
j-invariant |
L |
3.3382928759113 |
L(r)(E,1)/r! |
Ω |
0.066833001747673 |
Real period |
R |
8.32496103747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000187258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109554k1 |
Quadratic twists by: -31 |