Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ee |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-47371744444416000 = -1 · 230 · 3 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42401,-10983615] |
[a1,a2,a3,a4,a6] |
Generators |
[82432252135:6565564555264:12977875] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
4.6406618079613 |
L(r)(E,1)/r! |
Ω |
0.14930764243185 |
Real period |
R |
15.540603723855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cg3 11760cp3 960o3 |
Quadratic twists by: -4 8 -7 |