Atkin-Lehner |
2- 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314bb |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-45728840024064 = -1 · 218 · 37 · 312 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -3 -4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7717,192395] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:154:1] [139:1914:1] |
Generators of the group modulo torsion |
j |
69725950582679/62728175616 |
j-invariant |
L |
12.557898076689 |
L(r)(E,1)/r! |
Ω |
0.41661968273953 |
Real period |
R |
0.20932190471443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438d1 |
Quadratic twists by: -3 |