Atkin-Lehner |
3- 5- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615x |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1658507298800625 = 38 · 54 · 72 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-266229,-52769840] |
[a1,a2,a3,a4,a6] |
j |
2862616591286092369/2275044305625 |
j-invariant |
L |
3.3629959040258 |
L(r)(E,1)/r! |
Ω |
0.21018724490038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23205c2 |
Quadratic twists by: -3 |