Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450ba |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-15391200 = -1 · 25 · 3 · 52 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-661,-6592] |
[a1,a2,a3,a4,a6] |
Generators |
[78:607:1] |
Generators of the group modulo torsion |
j |
-1274803549105/615648 |
j-invariant |
L |
4.2675939456919 |
L(r)(E,1)/r! |
Ω |
0.47085300738532 |
Real period |
R |
4.5317688032948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450ca1 |
Quadratic twists by: 5 |