Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bx |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
141120000 = 29 · 32 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-2988] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
480200/9 |
j-invariant |
L |
4.2072084838171 |
L(r)(E,1)/r! |
Ω |
1.0632615855117 |
Real period |
R |
0.98922234873242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600dy1 117600hc1 117600dr1 |
Quadratic twists by: -4 5 -7 |