Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ee |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
94334625000000 = 26 · 34 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12576,-277202] |
[a1,a2,a3,a4,a6] |
j |
84604519/36288 |
j-invariant |
L |
3.7492181095705 |
L(r)(E,1)/r! |
Ω |
0.46865232218486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050gk1 127050il1 |
Quadratic twists by: 5 -11 |