Atkin-Lehner |
3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195w |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-76927560975 = -1 · 310 · 52 · 31 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -6 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144,-13325] |
[a1,a2,a3,a4,a6] |
j |
-454756609/105524775 |
j-invariant |
L |
0.9711264952912 |
L(r)(E,1)/r! |
Ω |
0.48556324872086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065b1 |
Quadratic twists by: -3 |