Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
51480y |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1679160637440 = -1 · 211 · 36 · 5 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1587,66926] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:286:1] |
Generators of the group modulo torsion |
j |
-296071778/1124695 |
j-invariant |
L |
5.8293014519611 |
L(r)(E,1)/r! |
Ω |
0.73484210977415 |
Real period |
R |
1.3221210775376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960bh1 5720e1 |
Quadratic twists by: -4 -3 |