Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290dv |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
7.2089215354809E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2962917,-1919316451] |
[a1,a2,a3,a4,a6] |
j |
18370278334948779/460366807040 |
j-invariant |
L |
3.2269434570323 |
L(r)(E,1)/r! |
Ω |
0.11524798047948 |
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 |
8470v1 59290bi1 |
Quadratic twists by: -7 -11 |