Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150x |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
34744253906250000 = 24 · 37 · 512 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4628400,3830670000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1885:77505:1] |
Generators of the group modulo torsion |
j |
701772729016801413889/2223632250000 |
j-invariant |
L |
3.9600725060818 |
L(r)(E,1)/r! |
Ω |
0.32059173657222 |
Real period |
R |
3.0880962067363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bg1 |
Quadratic twists by: 5 |