Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25970y |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-9976635200 = -1 · 26 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,440,-3200] |
[a1,a2,a3,a4,a6] |
Generators |
[60:460:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
10.081058117843 |
L(r)(E,1)/r! |
Ω |
0.69819368052861 |
Real period |
R |
0.60161542557277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850e1 530d1 |
Quadratic twists by: 5 -7 |