Atkin-Lehner |
2- 7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
111034i |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36365953722688898 = 2 · 77 · 118 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-391789,-93845069] |
[a1,a2,a3,a4,a6] |
Generators |
[-7620671600:-2788795869:20123648] |
Generators of the group modulo torsion |
j |
56531583177178257/309105506402 |
j-invariant |
L |
12.648911581803 |
L(r)(E,1)/r! |
Ω |
0.19088840822604 |
Real period |
R |
16.565845543823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15862d4 |
Quadratic twists by: -7 |