Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
41748h |
Isogeny class |
Conductor |
41748 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15159312 |
Modular degree for the optimal curve |
Δ |
-3.9151877358727E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-592577204,5560558505160] |
[a1,a2,a3,a4,a6] |
j |
-318227838424761997648/541417421434077 |
j-invariant |
L |
1.7467308741846 |
L(r)(E,1)/r! |
Ω |
0.064693736082654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125244q1 41748l1 |
Quadratic twists by: -3 -7 |