Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752x |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
632669948129902592 = 216 · 76 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-619808,184083200] |
[a1,a2,a3,a4,a6] |
j |
6428890034697390625/154460436555152 |
j-invariant |
L |
3.4556048575123 |
L(r)(E,1)/r! |
Ω |
0.28796707145938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i3 99008ca3 |
Quadratic twists by: -4 8 |