Atkin-Lehner |
3- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615t |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1204580841064453125 = 36 · 516 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-593034,167808563] |
[a1,a2,a3,a4,a6] |
j |
31639919893598246049/1652374267578125 |
j-invariant |
L |
4.3159680575456 |
L(r)(E,1)/r! |
Ω |
0.26974800401769 |
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 |
7735c3 |
Quadratic twists by: -3 |