Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112j |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
85350443984 = 24 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21386,-1203685] |
[a1,a2,a3,a4,a6] |
Generators |
[187:1156:1] [10218264:-271896625:13824] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
9.2152100506275 |
L(r)(E,1)/r! |
Ω |
0.39479279684141 |
Real period |
R |
23.341890035376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056l1 3536e1 |
Quadratic twists by: -4 17 |