Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802ba |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-1067657325977096064 = -1 · 27 · 319 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3129345,-2130527043] |
[a1,a2,a3,a4,a6] |
j |
-39515579724486529/12448473984 |
j-invariant |
L |
0.45403357737546 |
L(r)(E,1)/r! |
Ω |
0.056754197079445 |
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 |
17934z1 1098c1 |
Quadratic twists by: -3 -7 |