Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bs |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
477867600 = 24 · 34 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-398221,-96591404] |
[a1,a2,a3,a4,a6] |
j |
436493012606522097664/29866725 |
j-invariant |
L |
0.57015072565912 |
L(r)(E,1)/r! |
Ω |
0.19005024077344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060g1 |
Quadratic twists by: -4 |