Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937h |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-96627365883 = -1 · 37 · 174 · 232 |
Discriminant |
Eigenvalues |
0 3- -2 -1 2 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-966,18900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:144:1] |
Generators of the group modulo torsion |
j |
-258506752/250563 |
j-invariant |
L |
4.5453851049338 |
L(r)(E,1)/r! |
Ω |
0.97260745689042 |
Real period |
R |
1.1683503642923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26979o1 80937o1 |
Quadratic twists by: -3 -23 |