Atkin-Lehner |
2+ 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752a |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
572160 |
Modular degree for the optimal curve |
Δ |
69401568622608 = 24 · 39 · 195 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325539,71490087] |
[a1,a2,a3,a4,a6] |
Generators |
[331:37:1] |
Generators of the group modulo torsion |
j |
12114946823222016/220372811 |
j-invariant |
L |
8.0089534281061 |
L(r)(E,1)/r! |
Ω |
0.56693712581014 |
Real period |
R |
3.5316762069862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121752w1 |
Quadratic twists by: -3 |