Atkin-Lehner |
2+ 3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842j |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
6739200 |
Modular degree for the optimal curve |
Δ |
-9.0176774635644E+23 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11662906,43040476568] |
[a1,a2,a3,a4,a6] |
Generators |
[85941:25172005:1] |
Generators of the group modulo torsion |
j |
175446250671069263237729831/901767746356443762130944 |
j-invariant |
L |
5.2184128556566 |
L(r)(E,1)/r! |
Ω |
0.063757831644871 |
Real period |
R |
3.1479769869496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113526bk1 |
Quadratic twists by: -3 |