Atkin-Lehner |
3+ 7+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
42441a |
Isogeny class |
Conductor |
42441 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
-9.6484746844764E+21 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ -3 -1 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4196242,5770367319] |
[a1,a2,a3,a4,a6] |
Generators |
[-60789930:1664366903:27000] |
Generators of the group modulo torsion |
j |
-8171567914071725656403968/9648474684476410910547 |
j-invariant |
L |
10.660346130513 |
L(r)(E,1)/r! |
Ω |
0.11708201737478 |
Real period |
R |
3.7937601241461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323d1 |
Quadratic twists by: -3 |