Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650s |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2284800 |
Modular degree for the optimal curve |
Δ |
3383559769728000 = 210 · 3 · 53 · 235 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2013330,1098722100] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:33910:1] |
Generators of the group modulo torsion |
j |
7220361316295966316317/27068478157824 |
j-invariant |
L |
4.8494415858888 |
L(r)(E,1)/r! |
Ω |
0.39136591294863 |
Real period |
R |
6.1955337793039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000244164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650dr1 |
Quadratic twists by: 5 |