Atkin-Lehner |
2- 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742m |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-372986838666 = -1 · 2 · 36 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 1 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1095,-25407] |
[a1,a2,a3,a4,a6] |
j |
30080231/77274 |
j-invariant |
L |
1.9661353185556 |
L(r)(E,1)/r! |
Ω |
0.49153382955888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318c1 |
Quadratic twists by: 13 |