Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fd |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
547319531250000 = 24 · 36 · 511 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236700,44310375] |
[a1,a2,a3,a4,a6] |
j |
8047314026496/3003125 |
j-invariant |
L |
1.0197605197271 |
L(r)(E,1)/r! |
Ω |
0.50988060829044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27900d1 12400s1 22320bp1 |
Quadratic twists by: -4 -3 5 |