Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950bj |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
177877555200 = 211 · 35 · 52 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16886,842888] |
[a1,a2,a3,a4,a6] |
Generators |
[66:97:1] |
Generators of the group modulo torsion |
j |
21297424453581505/7115102208 |
j-invariant |
L |
5.9754898765324 |
L(r)(E,1)/r! |
Ω |
0.99397360917309 |
Real period |
R |
0.60117188432448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950cl1 |
Quadratic twists by: 5 |