Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cr |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
291456 |
Modular degree for the optimal curve |
Δ |
-876487500000000 = -1 · 28 · 33 · 511 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24445,2039543] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1050:1] |
Generators of the group modulo torsion |
j |
-6310614306512896/3423779296875 |
j-invariant |
L |
9.8959217634345 |
L(r)(E,1)/r! |
Ω |
0.46399151470066 |
Real period |
R |
0.16157430007664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260d1 |
Quadratic twists by: -4 |