Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ct |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
58060800 |
Modular degree for the optimal curve |
Δ |
3.2758413498778E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-426957075,-1986845064750] |
[a1,a2,a3,a4,a6] |
Generators |
[168134619710287358095:32517523449066291200000:3553489716177799] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
6.5381461552963 |
L(r)(E,1)/r! |
Ω |
0.034293564383874 |
Real period |
R |
23.831534560603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950d1 111600cu1 22320v1 |
Quadratic twists by: -4 -3 5 |