Atkin-Lehner |
3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725b |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-244285964296875 = -1 · 32 · 57 · 193 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-42633,-3456457] |
[a1,a2,a3,a4,a6] |
j |
-548468330070016/15634301715 |
j-invariant |
L |
1.9901405521336 |
L(r)(E,1)/r! |
Ω |
0.16584504600604 |
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 |
10545h2 |
Quadratic twists by: 5 |