Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800b |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2350000000000 = 210 · 511 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 3 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22075,1260250] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1250:1] |
Generators of the group modulo torsion |
j |
74354261796/146875 |
j-invariant |
L |
3.4662828009799 |
L(r)(E,1)/r! |
Ω |
0.81878494652547 |
Real period |
R |
0.52918089415437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400k1 75200cl1 3760b1 |
Quadratic twists by: -4 8 5 |