Atkin-Lehner |
2- 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950dj |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-62395312500 = -1 · 22 · 34 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 2 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1513,25517] |
[a1,a2,a3,a4,a6] |
Generators |
[2:149:1] |
Generators of the group modulo torsion |
j |
-980614705/159732 |
j-invariant |
L |
9.8885281807787 |
L(r)(E,1)/r! |
Ω |
1.0665672809497 |
Real period |
R |
0.38630662585589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950f1 |
Quadratic twists by: 5 |