Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010n |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-93276916875000 = -1 · 23 · 38 · 57 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 -3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12330,705676] |
[a1,a2,a3,a4,a6] |
Generators |
[41:497:1] |
Generators of the group modulo torsion |
j |
-284384044306081/127951875000 |
j-invariant |
L |
4.6265916798396 |
L(r)(E,1)/r! |
Ω |
0.56266346784977 |
Real period |
R |
2.0556655713505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670t1 |
Quadratic twists by: -3 |