Atkin-Lehner |
2+ 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504f |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-141023511552 = -1 · 210 · 3 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1224,-7008] |
[a1,a2,a3,a4,a6] |
Generators |
[156:460:27] |
Generators of the group modulo torsion |
j |
197885122844/137718273 |
j-invariant |
L |
9.3450754399698 |
L(r)(E,1)/r! |
Ω |
0.5841215920561 |
Real period |
R |
2.6664184212813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008k1 127512bd1 |
Quadratic twists by: -4 -3 |