Atkin-Lehner |
2- 7- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15694c |
Isogeny class |
Conductor |
15694 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-26513175567258856 = -1 · 23 · 73 · 196 · 593 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-162477,26383609] |
[a1,a2,a3,a4,a6] |
j |
-474350708907308680273/26513175567258856 |
j-invariant |
L |
2.2254503220933 |
L(r)(E,1)/r! |
Ω |
0.37090838701555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125552c2 109858q2 |
Quadratic twists by: -4 -7 |