Atkin-Lehner |
3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635a |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
200200 |
Modular degree for the optimal curve |
Δ |
-975327372421875 = -1 · 35 · 57 · 116 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9519,1456256] |
[a1,a2,a3,a4,a6] |
j |
53838872576/550546875 |
j-invariant |
L |
0.36383740059546 |
L(r)(E,1)/r! |
Ω |
0.36383739997452 |
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 |
435b1 |
Quadratic twists by: -11 |