Atkin-Lehner |
2+ 3+ 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21942a |
Isogeny class |
Conductor |
21942 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1283870304 = 25 · 33 · 232 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-588,5360] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:91:1] |
Generators of the group modulo torsion |
j |
833503293531/47550752 |
j-invariant |
L |
3.3975891561788 |
L(r)(E,1)/r! |
Ω |
1.5062123893042 |
Real period |
R |
1.1278585876419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21942e2 |
Quadratic twists by: -3 |