Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8162d |
Isogeny class |
Conductor |
8162 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-18969859216 = -1 · 24 · 75 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131,-6619] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1131:1] |
Generators of the group modulo torsion |
j |
-249689960073/18969859216 |
j-invariant |
L |
2.3631360911532 |
L(r)(E,1)/r! |
Ω |
0.53899840973745 |
Real period |
R |
0.14614366501899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65296j1 73458be1 57134m1 89782v1 |
Quadratic twists by: -4 -3 -7 -11 |