Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970ee |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
680139062109360 = 24 · 36 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1316027,-580761989] |
[a1,a2,a3,a4,a6] |
j |
8568561392847/23120 |
j-invariant |
L |
4.5105908123009 |
L(r)(E,1)/r! |
Ω |
0.14095596232231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8330a2 74970cs2 |
Quadratic twists by: -3 -7 |