Atkin-Lehner |
2- 3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758p |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1872640 |
Modular degree for the optimal curve |
Δ |
-2.3800819756316E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 11+ 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3264134,-2387327979] |
[a1,a2,a3,a4,a6] |
Generators |
[6473:494427:1] |
Generators of the group modulo torsion |
j |
-5275941807135921123097/326485867713527808 |
j-invariant |
L |
10.305070664574 |
L(r)(E,1)/r! |
Ω |
0.05595962037528 |
Real period |
R |
2.0926352778736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586a1 |
Quadratic twists by: -3 |