Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400da |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
1562042880000 = 212 · 39 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39721133,-96369639237] |
[a1,a2,a3,a4,a6] |
Generators |
[-4843597:180:1331] |
Generators of the group modulo torsion |
j |
2707376413289004966400/610173 |
j-invariant |
L |
8.6097563497232 |
L(r)(E,1)/r! |
Ω |
0.060137330637953 |
Real period |
R |
2.6512638774465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400by1 74400h1 |
Quadratic twists by: -4 5 |