Atkin-Lehner |
3- 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335d |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
106389505940625 = 312 · 55 · 29 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13185,-302184] |
[a1,a2,a3,a4,a6] |
j |
347740371686161/145938965625 |
j-invariant |
L |
0.92499251709721 |
L(r)(E,1)/r! |
Ω |
0.46249626223881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20445g1 |
Quadratic twists by: -3 |