Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480ca |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
1926452367360 = 212 · 313 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18192,942064] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1215:1] |
Generators of the group modulo torsion |
j |
222985990144/645165 |
j-invariant |
L |
6.4748948817273 |
L(r)(E,1)/r! |
Ω |
0.83438767512527 |
Real period |
R |
1.9400139391904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655h1 14160v1 |
Quadratic twists by: -4 -3 |