Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090ca |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-5509745841600 = -1 · 26 · 37 · 52 · 7 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3681,72333] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:249:1] |
Generators of the group modulo torsion |
j |
7565319416591/7557950400 |
j-invariant |
L |
6.0583337290843 |
L(r)(E,1)/r! |
Ω |
0.50186505564092 |
Real period |
R |
0.50298495406385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bq1 |
Quadratic twists by: -3 |