Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fq |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-163296000 = -1 · 28 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,2700] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-10:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
5.8918099848631 |
L(r)(E,1)/r! |
Ω |
1.8079940434075 |
Real period |
R |
0.81468879921733 |
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 |
6300v1 100800pu1 2800bf1 25200fa1 |
Quadratic twists by: -4 8 -3 5 |