Atkin-Lehner |
2+ 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69874f |
Isogeny class |
Conductor |
69874 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
478472835848 = 23 · 76 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2818,-48180] |
[a1,a2,a3,a4,a6] |
Generators |
[2955:25105:27] |
Generators of the group modulo torsion |
j |
21047437081/4066952 |
j-invariant |
L |
9.21994165352 |
L(r)(E,1)/r! |
Ω |
0.66403516158202 |
Real period |
R |
3.4711797605805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426d2 |
Quadratic twists by: -7 |