Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400di |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-470613877500000000 = -1 · 28 · 3 · 510 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85908,34370688] |
[a1,a2,a3,a4,a6] |
Generators |
[14798:1799850:1] |
Generators of the group modulo torsion |
j |
-3631696/24375 |
j-invariant |
L |
9.3129556596183 |
L(r)(E,1)/r! |
Ω |
0.25454781539944 |
Real period |
R |
4.573284025966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280d1 7800g1 |
Quadratic twists by: 5 13 |