Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572m |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-6.5843353321096E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3399816,-2710354444] |
[a1,a2,a3,a4,a6] |
Generators |
[10045:988281:1] |
Generators of the group modulo torsion |
j |
-4039597907968/612012267 |
j-invariant |
L |
4.8981342633944 |
L(r)(E,1)/r! |
Ω |
0.055130226419833 |
Real period |
R |
3.7019424895398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524d1 40572q1 |
Quadratic twists by: -3 -7 |