Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10335g |
Isogeny class |
Conductor |
10335 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
205408125 = 32 · 54 · 13 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43330,-3475225] |
[a1,a2,a3,a4,a6] |
j |
8996848464949420321/205408125 |
j-invariant |
L |
1.3236169564593 |
L(r)(E,1)/r! |
Ω |
0.33090423911483 |
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 |
31005i2 51675g2 |
Quadratic twists by: -3 5 |