Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528d |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
566242551318528 = 211 · 32 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58808,5388048] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-1372:1] |
Generators of the group modulo torsion |
j |
10982731693531250/276485620761 |
j-invariant |
L |
5.1495102559437 |
L(r)(E,1)/r! |
Ω |
0.5165684640017 |
Real period |
R |
0.31152152466224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12264c2 98112ce2 73584i2 |
Quadratic twists by: -4 8 -3 |