Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520b |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
65347560000 = 26 · 39 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3213,-69012] |
[a1,a2,a3,a4,a6] |
Generators |
[72:270:1] |
Generators of the group modulo torsion |
j |
2911954752/51875 |
j-invariant |
L |
3.8118440165236 |
L(r)(E,1)/r! |
Ω |
0.63480655505974 |
Real period |
R |
3.0023666164983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520m1 119520o1 |
Quadratic twists by: -4 -3 |