Atkin-Lehner |
3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475m |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-11431546875 = -1 · 33 · 56 · 73 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,142,-5056] |
[a1,a2,a3,a4,a6] |
j |
20123648/731619 |
j-invariant |
L |
1.8395409955781 |
L(r)(E,1)/r! |
Ω |
0.6131803318402 |
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 |
124425f1 1659c1 |
Quadratic twists by: -3 5 |