Atkin-Lehner |
2+ 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
7446d |
Isogeny class |
Conductor |
7446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
867190672411260192 = 25 · 36 · 178 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 -2 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-251437,18539005] |
[a1,a2,a3,a4,a6] |
Generators |
[769:16369:1] |
Generators of the group modulo torsion |
j |
1757980161491319207001/867190672411260192 |
j-invariant |
L |
1.1427843321088 |
L(r)(E,1)/r! |
Ω |
0.24934505832492 |
Real period |
R |
0.57289301209033 |
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 |
59568bj2 22338k2 126582t2 |
Quadratic twists by: -4 -3 17 |