Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800t |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-54067500000000 = -1 · 28 · 35 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9167,-102037] |
[a1,a2,a3,a4,a6] |
Generators |
[14:171:1] |
Generators of the group modulo torsion |
j |
34073600/21627 |
j-invariant |
L |
5.9307761025764 |
L(r)(E,1)/r! |
Ω |
0.36149601555038 |
Real period |
R |
3.2812400835695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53400d1 106800h1 |
Quadratic twists by: -4 5 |