Atkin-Lehner |
3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35475k |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-23834765625 = -1 · 3 · 58 · 11 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 1 11+ 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,674,3173] |
[a1,a2,a3,a4,a6] |
j |
86869895/61017 |
j-invariant |
L |
4.5554768855346 |
L(r)(E,1)/r! |
Ω |
0.75924614758765 |
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 |
106425bc1 35475a1 |
Quadratic twists by: -3 5 |