Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725bt |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.8151497132239E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197941338,1071875917917] |
[a1,a2,a3,a4,a6] |
Generators |
[7707:-68166:1] |
Generators of the group modulo torsion |
j |
11372424889583066401/50586128775 |
j-invariant |
L |
4.6040530427738 |
L(r)(E,1)/r! |
Ω |
0.12319199870419 |
Real period |
R |
0.7786039064944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745d4 6825h4 |
Quadratic twists by: 5 13 |