Atkin-Lehner |
2- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bd |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-46039826432 = -1 · 220 · 232 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 -1 5 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-353,10753] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:92:1] |
Generators of the group modulo torsion |
j |
-18609625/175628 |
j-invariant |
L |
5.6565406684356 |
L(r)(E,1)/r! |
Ω |
0.96924207655636 |
Real period |
R |
1.4590113242435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176o1 30544k1 |
Quadratic twists by: -4 8 |