Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950bh |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1676802643200 = -1 · 28 · 312 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1624,-56842] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1867:1] |
Generators of the group modulo torsion |
j |
18963833849375/67072105728 |
j-invariant |
L |
6.157373995199 |
L(r)(E,1)/r! |
Ω |
0.42823594921763 |
Real period |
R |
0.59910255148461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950ck1 |
Quadratic twists by: 5 |