Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600gj |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-168101597160000000 = -1 · 29 · 36 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4479008,-3650101512] |
[a1,a2,a3,a4,a6] |
Generators |
[17338:2265150:1] |
Generators of the group modulo torsion |
j |
-215474070728/3645 |
j-invariant |
L |
8.2324872705042 |
L(r)(E,1)/r! |
Ω |
0.051888802802226 |
Real period |
R |
6.6106806034232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600f1 23520f1 117600ez1 |
Quadratic twists by: -4 5 -7 |