Atkin-Lehner |
3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42273b |
Isogeny class |
Conductor |
42273 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3523412277 = 37 · 74 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96633,-11537964] |
[a1,a2,a3,a4,a6] |
Generators |
[-8362188:4154239:46656] |
Generators of the group modulo torsion |
j |
136891064117887633/4833213 |
j-invariant |
L |
4.7794166849905 |
L(r)(E,1)/r! |
Ω |
0.27078087001782 |
Real period |
R |
8.8252480403813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14091b3 |
Quadratic twists by: -3 |