Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600ea |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-11246708736000000 = -1 · 217 · 311 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,53925,1674250] |
[a1,a2,a3,a4,a6] |
Generators |
[311:6966:1] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
6.012586300056 |
L(r)(E,1)/r! |
Ω |
0.25211800496277 |
Real period |
R |
2.9810377357589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950co1 37200cu1 4464s1 |
Quadratic twists by: -4 -3 5 |