Atkin-Lehner |
2+ 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590l |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-11994070671360000 = -1 · 216 · 312 · 54 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56115,1245541] |
[a1,a2,a3,a4,a6] |
j |
26805797482094639/16452771840000 |
j-invariant |
L |
0.99042118434328 |
L(r)(E,1)/r! |
Ω |
0.24760529602625 |
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 |
16530w1 |
Quadratic twists by: -3 |