Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74052t |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-4196753320214999808 = -1 · 28 · 37 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 11- 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,351384,-57334156] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1305:1] |
Generators of the group modulo torsion |
j |
991232/867 |
j-invariant |
L |
5.540206666412 |
L(r)(E,1)/r! |
Ω |
0.13561057365811 |
Real period |
R |
5.1067244576324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684a1 74052k1 |
Quadratic twists by: -3 -11 |