Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970cp |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-95642977500 = -1 · 22 · 38 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3128,-68169] |
[a1,a2,a3,a4,a6] |
j |
-13532315887/382500 |
j-invariant |
L |
2.5493531974654 |
L(r)(E,1)/r! |
Ω |
0.31866914683097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990o1 74970dz1 |
Quadratic twists by: -3 -7 |