Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53025o |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
7456640625 = 33 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9901,378323] |
[a1,a2,a3,a4,a6] |
Generators |
[206:2893:8] |
Generators of the group modulo torsion |
j |
6868751617729/477225 |
j-invariant |
L |
8.4118778955899 |
L(r)(E,1)/r! |
Ω |
1.2555163954494 |
Real period |
R |
2.2333115749725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605a1 |
Quadratic twists by: 5 |