Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112700x |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-13940935904000 = -1 · 28 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5227,-107183] |
[a1,a2,a3,a4,a6] |
Generators |
[27:230:1] [47:490:1] |
Generators of the group modulo torsion |
j |
4194304/3703 |
j-invariant |
L |
8.9339211015639 |
L(r)(E,1)/r! |
Ω |
0.38767419667883 |
Real period |
R |
0.96020502723235 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112700ba1 16100g1 |
Quadratic twists by: 5 -7 |