Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692s |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-39960269975808 = -1 · 28 · 38 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9831,482974] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:598:1] [155:-1638:1] |
Generators of the group modulo torsion |
j |
-563053038928/214121817 |
j-invariant |
L |
8.508838468869 |
L(r)(E,1)/r! |
Ω |
0.60711810865051 |
Real period |
R |
0.58396369858064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18564l2 |
Quadratic twists by: -3 |