Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052c |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-4222741248 = -1 · 28 · 36 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10560,-417692] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1782:1] |
Generators of the group modulo torsion |
j |
-524288000/17 |
j-invariant |
L |
6.3275143500744 |
L(r)(E,1)/r! |
Ω |
0.23547929914986 |
Real period |
R |
2.239232341343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8228b1 74052d1 |
Quadratic twists by: -3 -11 |