Atkin-Lehner |
2- 3- 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530y |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-120044103874560 = -1 · 211 · 315 · 5 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-794318,-272284963] |
[a1,a2,a3,a4,a6] |
Generators |
[3321:181939:1] |
Generators of the group modulo torsion |
j |
-76028930934934313881/164669552640 |
j-invariant |
L |
9.2581953180066 |
L(r)(E,1)/r! |
Ω |
0.079959661008513 |
Real period |
R |
5.2629920463518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510e1 |
Quadratic twists by: -3 |