Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-30072059854848 = -1 · 217 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,-300656] |
[a1,a2,a3,a4,a6] |
Generators |
[194:-2448:1] |
Generators of the group modulo torsion |
j |
-162365474/314721 |
j-invariant |
L |
4.5395974259706 |
L(r)(E,1)/r! |
Ω |
0.26449324594461 |
Real period |
R |
1.0727110970558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712br2 26928o2 35904cl2 |
Quadratic twists by: -4 8 -3 |