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 |
Δ |
10839537450 = 2 · 37 · 52 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50378,-4339569] |
[a1,a2,a3,a4,a6] |
j |
56547934727887/43350 |
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 |
24990o2 74970dz2 |
Quadratic twists by: -3 -7 |