Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800bv |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
11534400000000 = 212 · 34 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59408,5551188] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3000:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
10.334021685483 |
L(r)(E,1)/r! |
Ω |
0.70638486805786 |
Real period |
R |
0.91434058953744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997898 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6675b1 21360g1 |
Quadratic twists by: -4 5 |