Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970k |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22954693346190900 = 22 · 39 · 52 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9678489,-11586938455] |
[a1,a2,a3,a4,a6] |
Generators |
[5876:363667:1] |
Generators of the group modulo torsion |
j |
43297905398453523/9912700 |
j-invariant |
L |
4.3669952460158 |
L(r)(E,1)/r! |
Ω |
0.085594856532986 |
Real period |
R |
6.3774206530032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cd2 10710b2 |
Quadratic twists by: -3 -7 |