Atkin-Lehner |
3+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109383a |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10019840 |
Modular degree for the optimal curve |
Δ |
-2.7198999095206E+21 |
Discriminant |
Eigenvalues |
0 3+ 3 -1 -5 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-48543429,130220219252] |
[a1,a2,a3,a4,a6] |
Generators |
[37746420:629713931:8000] |
Generators of the group modulo torsion |
j |
-39204206178992128/8428892481 |
j-invariant |
L |
4.0166816823523 |
L(r)(E,1)/r! |
Ω |
0.13975545125929 |
Real period |
R |
3.5925984226103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999312609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109383j1 |
Quadratic twists by: -19 |