Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bt |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-4.8328406734789E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1950900,136716556] |
[a1,a2,a3,a4,a6] |
Generators |
[15458:843629:8] |
Generators of the group modulo torsion |
j |
1802275556733747200/1060705771956963 |
j-invariant |
L |
4.9809715254435 |
L(r)(E,1)/r! |
Ω |
0.10079958399605 |
Real period |
R |
8.2357673315451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025o1 42075bd1 |
Quadratic twists by: -3 5 |