Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29394d |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
88130504534794002 = 2 · 310 · 236 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-169749,22859739] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:5745:1] |
Generators of the group modulo torsion |
j |
742026296584926289/120892324464738 |
j-invariant |
L |
2.7109838817495 |
L(r)(E,1)/r! |
Ω |
0.32495842297046 |
Real period |
R |
1.3904260207446 |
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 |
9798j2 |
Quadratic twists by: -3 |