Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368c |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
81290900377960448 = 223 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 6 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-142177,15367167] |
[a1,a2,a3,a4,a6] |
Generators |
[46345:463628:125] |
Generators of the group modulo torsion |
j |
1212480836738137/310100175392 |
j-invariant |
L |
4.3283099394998 |
L(r)(E,1)/r! |
Ω |
0.32051204613281 |
Real period |
R |
6.7521798193294 |
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 |
18368ba2 574b2 128576bq2 |
Quadratic twists by: -4 8 -7 |