Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052f |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6933933072 = 24 · 36 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2145,-38027] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:9:1] [108:995:1] |
Generators of the group modulo torsion |
j |
773344000/4913 |
j-invariant |
L |
10.026937539466 |
L(r)(E,1)/r! |
Ω |
0.70179285585751 |
Real period |
R |
7.1438013764943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8228d2 74052p2 |
Quadratic twists by: -3 -11 |