Atkin-Lehner |
11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30899b |
Isogeny class |
Conductor |
30899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-4.8311838747575E+19 |
Discriminant |
Eigenvalues |
-1 1 -4 4 11- 1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1007085,-513067714] |
[a1,a2,a3,a4,a6] |
j |
-5096439860329/2179708157 |
j-invariant |
L |
0.59051108101241 |
L(r)(E,1)/r! |
Ω |
0.073813885127011 |
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 |
583b1 |
Quadratic twists by: 53 |