Atkin-Lehner |
2+ 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590v |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
159600 |
Modular degree for the optimal curve |
Δ |
-33781203900000 = -1 · 25 · 36 · 55 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5424,320480] |
[a1,a2,a3,a4,a6] |
j |
-24210305209089/46339100000 |
j-invariant |
L |
2.9198327528252 |
L(r)(E,1)/r! |
Ω |
0.58396655060468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510i1 |
Quadratic twists by: -3 |