Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950dh |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
320688505512000 = 26 · 314 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30033,1806057] |
[a1,a2,a3,a4,a6] |
Generators |
[288:3987:1] |
Generators of the group modulo torsion |
j |
23966838598351013/2565508044096 |
j-invariant |
L |
8.9204096645792 |
L(r)(E,1)/r! |
Ω |
0.52636130157149 |
Real period |
R |
0.20175372472551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000597 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73950bb1 |
Quadratic twists by: 5 |