Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728co |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-338350591362760704 = -1 · 215 · 39 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,136269,-20207502] |
[a1,a2,a3,a4,a6] |
Generators |
[5817:444528:1] |
Generators of the group modulo torsion |
j |
29503629/35672 |
j-invariant |
L |
9.0823193619386 |
L(r)(E,1)/r! |
Ω |
0.16306167038611 |
Real period |
R |
1.7405836672104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11466e2 91728cp1 13104bi2 |
Quadratic twists by: -4 -3 -7 |