Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200ec |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-245046060000000 = -1 · 28 · 36 · 57 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7200,715500] |
[a1,a2,a3,a4,a6] |
Generators |
[70:1250:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
4.5676221121226 |
L(r)(E,1)/r! |
Ω |
0.40163137638777 |
Real period |
R |
2.8431681267057 |
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 |
6300q1 100800mk1 2800q1 5040bp1 |
Quadratic twists by: -4 8 -3 5 |