Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gp |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-27769651200000000 = -1 · 220 · 37 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 4 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16125,-7978750] |
[a1,a2,a3,a4,a6] |
Generators |
[175:450:1] |
Generators of the group modulo torsion |
j |
397535/23808 |
j-invariant |
L |
6.7731976703609 |
L(r)(E,1)/r! |
Ω |
0.17877826401827 |
Real period |
R |
1.5785843463194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bh1 37200cj1 111600ez1 |
Quadratic twists by: -4 -3 5 |