Atkin-Lehner |
2+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106858d |
Isogeny class |
Conductor |
106858 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-13677824 = -1 · 28 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 -1 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,47,149] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-17:1] |
Generators of the group modulo torsion |
j |
20991479/25856 |
j-invariant |
L |
2.627188536875 |
L(r)(E,1)/r! |
Ω |
1.4962496664932 |
Real period |
R |
0.87792451692405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106858c1 |
Quadratic twists by: -23 |