Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056t |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
112132657152 = 212 · 36 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,39490] |
[a1,a2,a3,a4,a6] |
Generators |
[17:72:1] |
Generators of the group modulo torsion |
j |
454756609/37553 |
j-invariant |
L |
4.3624853220095 |
L(r)(E,1)/r! |
Ω |
1.029036054274 |
Real period |
R |
1.0598475415741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7191f1 12784f1 |
Quadratic twists by: -4 -3 |