Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052l |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
382543144161552 = 24 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-786621,268530581] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:22869:1] [484:-1089:1] |
Generators of the group modulo torsion |
j |
21529370368/153 |
j-invariant |
L |
9.1116031317361 |
L(r)(E,1)/r! |
Ω |
0.47869973878728 |
Real period |
R |
1.0574481934521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684e1 74052u1 |
Quadratic twists by: -3 -11 |