Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620bo |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-9426860858284800 = -1 · 28 · 3 · 52 · 79 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81405,-10113825] |
[a1,a2,a3,a4,a6] |
j |
-5775106048/912525 |
j-invariant |
L |
5.0437159743222 |
L(r)(E,1)/r! |
Ω |
0.14010322178979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620g1 |
Quadratic twists by: -7 |