Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200db |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-23125000000 = -1 · 26 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-7338] |
[a1,a2,a3,a4,a6] |
Generators |
[294557540787:311010316624:12374478297] |
Generators of the group modulo torsion |
j |
-1600/37 |
j-invariant |
L |
9.9409805771758 |
L(r)(E,1)/r! |
Ω |
0.51993295973185 |
Real period |
R |
19.11973532569 |
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 |
59200df1 29600p1 59200dp1 |
Quadratic twists by: -4 8 5 |