Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400q |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1017639909040000000 = 210 · 57 · 177 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 0 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-599408,171700688] |
[a1,a2,a3,a4,a6] |
Generators |
[803:14450:1] [152:9172:1] |
Generators of the group modulo torsion |
j |
1488579585992356/63602494315 |
j-invariant |
L |
13.023951071354 |
L(r)(E,1)/r! |
Ω |
0.27456655396745 |
Real period |
R |
0.84704619521605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080a1 |
Quadratic twists by: 5 |