Atkin-Lehner |
2+ 3+ 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890j |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
10188773928000 = 26 · 32 · 53 · 29 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17747,889581] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:1064:1] |
Generators of the group modulo torsion |
j |
618211096465830841/10188773928000 |
j-invariant |
L |
3.3339943138625 |
L(r)(E,1)/r! |
Ω |
0.72493276785745 |
Real period |
R |
0.38325327783133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bs1 |
Quadratic twists by: -3 |