Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400ba |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-25947000000 = -1 · 26 · 33 · 56 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,642,4788] |
[a1,a2,a3,a4,a6] |
Generators |
[2:78:1] [18:150:1] |
Generators of the group modulo torsion |
j |
29218112/25947 |
j-invariant |
L |
11.128477269638 |
L(r)(E,1)/r! |
Ω |
0.77568401631165 |
Real period |
R |
2.3911105200356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400bx1 2976d1 |
Quadratic twists by: -4 5 |