Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525q |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
867835390625 = 57 · 7 · 174 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ 7- -4 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88817,10210216] |
[a1,a2,a3,a4,a6] |
Generators |
[364:-5282:1] |
Generators of the group modulo torsion |
j |
4959007166945889/55541465 |
j-invariant |
L |
4.7439848825867 |
L(r)(E,1)/r! |
Ω |
0.80578802674528 |
Real period |
R |
1.4718464177436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11305a4 |
Quadratic twists by: 5 |