Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050cc |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
274881600000000 = 212 · 35 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86813,9805617] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-2381:1] |
Generators of the group modulo torsion |
j |
4630824176799241/17592422400 |
j-invariant |
L |
14.779137874314 |
L(r)(E,1)/r! |
Ω |
0.55247893996053 |
Real period |
R |
0.44584317443501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210h1 |
Quadratic twists by: 5 |