Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16520d |
Isogeny class |
Conductor |
16520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2714288864000 = -1 · 28 · 53 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -1 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2385,90275] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:295:1] |
Generators of the group modulo torsion |
j |
-5863149638656/10602690875 |
j-invariant |
L |
6.4858518185281 |
L(r)(E,1)/r! |
Ω |
0.72179623751146 |
Real period |
R |
0.37440459194373 |
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 |
33040c1 82600d1 115640o1 |
Quadratic twists by: -4 5 -7 |