Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dm |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-9408000000 = -1 · 212 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,-2437] |
[a1,a2,a3,a4,a6] |
Generators |
[291:1700:27] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
8.2047339589755 |
L(r)(E,1)/r! |
Ω |
0.71602817305633 |
Real period |
R |
2.8646687046309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bf1 4704x1 117600j1 |
Quadratic twists by: -4 5 -7 |