Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cs |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
3296890093348454400 = 217 · 318 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-374360,11745300] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:2430:1] |
Generators of the group modulo torsion |
j |
1416554343451540441/804904807946400 |
j-invariant |
L |
10.354437504353 |
L(r)(E,1)/r! |
Ω |
0.21606604706608 |
Real period |
R |
1.3311821446167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130i2 |
Quadratic twists by: -4 |