Atkin-Lehner |
2- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127300j |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-17463014000 = -1 · 24 · 53 · 194 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- -1 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3098,67717] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:361:1] [-13:325:1] |
Generators of the group modulo torsion |
j |
-1644667591424/8731507 |
j-invariant |
L |
9.671985668449 |
L(r)(E,1)/r! |
Ω |
1.2370229275341 |
Real period |
R |
1.9546900583131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999948551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127300h1 |
Quadratic twists by: 5 |