Atkin-Lehner |
2- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116288t |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
182016 |
Modular degree for the optimal curve |
Δ |
-77756668928 = -1 · 210 · 233 · 792 |
Discriminant |
Eigenvalues |
2- -1 -2 0 -2 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73529,-7649807] |
[a1,a2,a3,a4,a6] |
Generators |
[17112:381761:27] |
Generators of the group modulo torsion |
j |
-42934423977349888/75934247 |
j-invariant |
L |
2.5714118413153 |
L(r)(E,1)/r! |
Ω |
0.14496206128999 |
Real period |
R |
8.8692581322809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998420263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288m1 29072h1 |
Quadratic twists by: -4 8 |