Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gn |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3724876019143E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29489115,-61636632950] |
[a1,a2,a3,a4,a6] |
Generators |
[1708270:-180611208:125] |
Generators of the group modulo torsion |
j |
7598212583918732621/36771465672 |
j-invariant |
L |
6.5173561655732 |
L(r)(E,1)/r! |
Ω |
0.064786459361523 |
Real period |
R |
6.2873440286153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950ct2 37200dy2 111600gr2 |
Quadratic twists by: -4 -3 5 |