Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392n |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
9802088448 = 222 · 3 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,-3468] |
[a1,a2,a3,a4,a6] |
Generators |
[3972:28743:64] |
Generators of the group modulo torsion |
j |
6078390625/2393088 |
j-invariant |
L |
7.053764614087 |
L(r)(E,1)/r! |
Ω |
0.99429515497108 |
Real period |
R |
7.0942361318167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674e1 112176q1 |
Quadratic twists by: -4 -3 |