Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
41748l |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
2165616 |
Modular degree for the optimal curve |
Δ |
-3.3278546658898E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -6 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12093412,-16214996092] |
[a1,a2,a3,a4,a6] |
j |
-318227838424761997648/541417421434077 |
j-invariant |
L |
3.2784840648677 |
L(r)(E,1)/r! |
Ω |
0.040475111913781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244g1 41748h1 |
Quadratic twists by: -3 -7 |