Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970l |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1011690162000 = -1 · 24 · 36 · 53 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1755,38821] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:43:1] |
Generators of the group modulo torsion |
j |
341425679/578000 |
j-invariant |
L |
4.4657841039484 |
L(r)(E,1)/r! |
Ω |
0.60031806724043 |
Real period |
R |
1.8597574964113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330t1 74970br1 |
Quadratic twists by: -3 -7 |