Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925p |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
8768738056640625 = 39 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1506605,-711391228] |
[a1,a2,a3,a4,a6] |
j |
33202753467020929/769820625 |
j-invariant |
L |
0.54508009331198 |
L(r)(E,1)/r! |
Ω |
0.13627002332807 |
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 |
9975i1 5985q1 |
Quadratic twists by: -3 5 |