Atkin-Lehner |
3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
63a |
Isogeny class |
Conductor |
63 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
107163 = 37 · 72 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7056,229905] |
[a1,a2,a3,a4,a6] |
j |
53297461115137/147 |
j-invariant |
L |
1.1033104643357 |
L(r)(E,1)/r! |
Ω |
2.2066209286714 |
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 |
1008k5 4032h5 21a5 1575g5 |
Quadratic twists by: -4 8 -3 5 |