Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067h |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3643200 |
Modular degree for the optimal curve |
Δ |
-4.6070758839893E+19 |
Discriminant |
Eigenvalues |
0 3+ 4 4 -4 -6 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,600239,272942874] |
[a1,a2,a3,a4,a6] |
Generators |
[6217809468:272279566733:4826809] |
Generators of the group modulo torsion |
j |
305402740736/588305187 |
j-invariant |
L |
5.6897622657712 |
L(r)(E,1)/r! |
Ω |
0.13912497033648 |
Real period |
R |
13.632257511623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65067i1 |
Quadratic twists by: -23 |