Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bo |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
108566894531250000 = 24 · 36 · 516 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-703633,226859512] |
[a1,a2,a3,a4,a6] |
Generators |
[-2454:162725:8] |
Generators of the group modulo torsion |
j |
154107196178907136/434267578125 |
j-invariant |
L |
4.4661442341067 |
L(r)(E,1)/r! |
Ω |
0.33527337101266 |
Real period |
R |
6.6604517683547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300j1 14640bk1 |
Quadratic twists by: -4 5 |