Atkin-Lehner |
2+ 3+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550k |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38160 |
Modular degree for the optimal curve |
Δ |
-7952343750 = -1 · 2 · 33 · 58 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,-4125] |
[a1,a2,a3,a4,a6] |
j |
1503815/20358 |
j-invariant |
L |
0.64379973329401 |
L(r)(E,1)/r! |
Ω |
0.64379973747525 |
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 |
56550bx1 |
Quadratic twists by: 5 |