Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
83148h |
Isogeny class |
Conductor |
83148 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-1690442036051184 = -1 · 24 · 35 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 5 -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18534,1729521] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-1521:1] |
Generators of the group modulo torsion |
j |
9116489984/21888711 |
j-invariant |
L |
9.6966195433002 |
L(r)(E,1)/r! |
Ω |
0.32962708527482 |
Real period |
R |
0.9805646007276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6396g1 |
Quadratic twists by: 13 |