Atkin-Lehner |
2- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002u |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49861908378031204 = 22 · 712 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-151101,-19853599] |
[a1,a2,a3,a4,a6] |
Generators |
[4178084555:430602143574:389017] |
Generators of the group modulo torsion |
j |
3242909232320913/423819228196 |
j-invariant |
L |
8.5660333650319 |
L(r)(E,1)/r! |
Ω |
0.24423696508116 |
Real period |
R |
17.536316354914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936697 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13286l2 |
Quadratic twists by: -7 |