Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712eg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28477329408 = 212 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1380,17984] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:153:1] [-34:160:1] |
Generators of the group modulo torsion |
j |
97336000/9537 |
j-invariant |
L |
10.342787928412 |
L(r)(E,1)/r! |
Ω |
1.1482410102718 |
Real period |
R |
1.1259382651465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dh2 53856t1 35904bs2 |
Quadratic twists by: -4 8 -3 |