Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600es |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1.00083626325E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460000,-1477262500] |
[a1,a2,a3,a4,a6] |
j |
903361331200/5491557 |
j-invariant |
L |
0.48237540318238 |
L(r)(E,1)/r! |
Ω |
0.12059374888775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27900b1 37200bu1 111600gi1 |
Quadratic twists by: -4 -3 5 |