Atkin-Lehner |
3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52725q |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1737453515625 = 32 · 58 · 192 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5626,-149977] |
[a1,a2,a3,a4,a6] |
Generators |
[114477:29096:1331] |
Generators of the group modulo torsion |
j |
1260061952401/111197025 |
j-invariant |
L |
8.0255912530798 |
L(r)(E,1)/r! |
Ω |
0.55436886940647 |
Real period |
R |
7.2384938043453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10545b2 |
Quadratic twists by: 5 |