Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200dz |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16803158400000000 = 213 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6914880075,-221322257999750] |
[a1,a2,a3,a4,a6] |
Generators |
[-20387673631515326370175658965:94684988734963197268698:424654742382436340327125] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
4.9252766048439 |
L(r)(E,1)/r! |
Ω |
0.016555922758875 |
Real period |
R |
37.186666341231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3150bk7 100800lv8 8400cc7 5040bi7 |
Quadratic twists by: -4 8 -3 5 |