Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950bl |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
848576250000 = 24 · 34 · 57 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21526,-1216552] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:67:1] |
Generators of the group modulo torsion |
j |
70593496254289/54308880 |
j-invariant |
L |
6.2643233250357 |
L(r)(E,1)/r! |
Ω |
0.39416784590109 |
Real period |
R |
1.9865659352751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790o1 |
Quadratic twists by: 5 |