Atkin-Lehner |
3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475cg |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-385287890625 = -1 · 37 · 58 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,-27459] |
[a1,a2,a3,a4,a6] |
j |
397535/1353 |
j-invariant |
L |
2.9085463217439 |
L(r)(E,1)/r! |
Ω |
0.48475776517205 |
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 |
33825ba1 101475bn1 |
Quadratic twists by: -3 5 |