Atkin-Lehner |
2+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670l |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
332779765760 = 214 · 5 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1949,18565] |
[a1,a2,a3,a4,a6] |
j |
372781634373/151470080 |
j-invariant |
L |
1.7458932503181 |
L(r)(E,1)/r! |
Ω |
0.87294662344541 |
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 |
72670s1 |
Quadratic twists by: 13 |