Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dr |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-6.9395857519423E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2148291,-370151370] |
[a1,a2,a3,a4,a6] |
Generators |
[198:7938:1] |
Generators of the group modulo torsion |
j |
582498235727347712/368659410191667 |
j-invariant |
L |
5.2446438912824 |
L(r)(E,1)/r! |
Ω |
0.092470099759849 |
Real period |
R |
2.5780539306003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172h1 6384v1 |
Quadratic twists by: -4 -7 |