Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bo |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1404001349640036000 = -1 · 25 · 36 · 53 · 78 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299889,-85045955] |
[a1,a2,a3,a4,a6] |
j |
-709731835729/334084000 |
j-invariant |
L |
2.3941243465036 |
L(r)(E,1)/r! |
Ω |
0.099755182228917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330p1 74970w1 |
Quadratic twists by: -3 -7 |