Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350w |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-105875000000000 = -1 · 29 · 512 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8600,392000] |
[a1,a2,a3,a4,a6] |
Generators |
[190:6155:8] |
Generators of the group modulo torsion |
j |
37199299511/56000000 |
j-invariant |
L |
3.6215278572758 |
L(r)(E,1)/r! |
Ω |
0.4045013566546 |
Real period |
R |
2.2382668177112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470r2 42350bw2 |
Quadratic twists by: 5 -11 |