Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30222p |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
11821050487872 = 26 · 314 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9185,297969] |
[a1,a2,a3,a4,a6] |
Generators |
[77:168:1] |
Generators of the group modulo torsion |
j |
117540988071625/16215432768 |
j-invariant |
L |
9.7316090721947 |
L(r)(E,1)/r! |
Ω |
0.68735949161038 |
Real period |
R |
1.1798301072164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074h1 |
Quadratic twists by: -3 |