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 |
1820441349875441475 = 37 · 52 · 74 · 138 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-323604,-28316615] |
[a1,a2,a3,a4,a6] |
j |
5140893207488770369/2497176062929275 |
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 |
23205c3 |
Quadratic twists by: -3 |