Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440bp |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1824005517224181760 = 223 · 5 · 72 · 316 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2636332,1646304816] |
[a1,a2,a3,a4,a6] |
Generators |
[885:2511:1] |
Generators of the group modulo torsion |
j |
7730081871906369249/6958028859040 |
j-invariant |
L |
4.9619761683036 |
L(r)(E,1)/r! |
Ω |
0.26250304924521 |
Real period |
R |
3.1504244629907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440dn2 2170j2 |
Quadratic twists by: -4 8 |