Atkin-Lehner |
2+ 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650bc |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-5871900000000 = -1 · 28 · 3 · 58 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15276,734698] |
[a1,a2,a3,a4,a6] |
Generators |
[82:146:1] |
Generators of the group modulo torsion |
j |
-25228519578289/375801600 |
j-invariant |
L |
5.2222675712437 |
L(r)(E,1)/r! |
Ω |
0.75971709017203 |
Real period |
R |
1.7184908845631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530x1 |
Quadratic twists by: 5 |