Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575be |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
522720 |
Modular degree for the optimal curve |
Δ |
-21296682421875 = -1 · 33 · 58 · 74 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -6 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80263,8721656] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-20419:8] [160:-168:1] |
Generators of the group modulo torsion |
j |
-60970256305/22707 |
j-invariant |
L |
6.0739803023638 |
L(r)(E,1)/r! |
Ω |
0.66826009900415 |
Real period |
R |
0.50495810045854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575br1 106575cv1 |
Quadratic twists by: 5 -7 |