Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dm |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
1700298000000000 = 210 · 33 · 59 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30563,-544383] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:769:1] |
Generators of the group modulo torsion |
j |
202065662235241/108819072000 |
j-invariant |
L |
12.330727373904 |
L(r)(E,1)/r! |
Ω |
0.38446162784189 |
Real period |
R |
0.53454521250672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530f1 |
Quadratic twists by: 5 |