Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25560h |
Isogeny class |
Conductor |
25560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-33125760000 = -1 · 210 · 36 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,-9234] |
[a1,a2,a3,a4,a6] |
j |
-8586756/44375 |
j-invariant |
L |
3.8807128148951 |
L(r)(E,1)/r! |
Ω |
0.48508910186192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51120n1 2840a1 127800i1 |
Quadratic twists by: -4 -3 5 |