Atkin-Lehner |
3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
65325z |
Isogeny class |
Conductor |
65325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
-145761509765625 = -1 · 3 · 59 · 135 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 1 3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48701,4173173] |
[a1,a2,a3,a4,a6] |
j |
-6540252126101/74629893 |
j-invariant |
L |
4.657264479117 |
L(r)(E,1)/r! |
Ω |
0.58215806195473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65325k1 |
Quadratic twists by: 5 |